Strength Training
How To Calculate One Rep Max
A one rep max is the heaviest load you can lift once. Testing it directly is risky, so most lifters estimate it from a lighter set — and the whole topic is really about how much you should trust that estimate.
Quick Answer
Epley: 1RM = w x (1 + reps/30) | Brzycki: 1RM = w x 36 / (37 - reps)
- w
- Weight lifted for the set you completed
- reps
- Repetitions completed with that weight
- 1RM
- Estimated one rep max, a prediction rather than a measurement
- share
- Working percentage of the one rep max, such as 0.9 or 0.75
Both formulas take a set you actually completed and extrapolate to a single maximal lift. For 100 kg for five reps, Epley gives 100 x (1 + 5/30) = 116.6667 and Brzycki gives 100 x 36 / 32 = 112.5. The 4.1667 kg gap is not an arithmetic error — it is the honest uncertainty inside any estimate. Use the figure to set working loads rather than to load a bar you have never tested, because directly testing a one rep max needs a spotter and experience.
What Is One Rep Max?
The one rep max, usually written 1RM, is the heaviest load a person can lift once, with sound technique and a full range of motion. It is a single number describing maximal strength for one specific exercise, and it changes as training changes. Because it is defined at exactly one repetition, it cannot be read directly off a set of five or ten; it has to be either tested or estimated. The estimate is what almost every lifter actually uses in day-to-day programming. It is specific to one exercise, one technique and one point in time, which is why the same lifter can hold a different figure for the squat, the bench press and the deadlift.
Testing a true one rep max means adding weight until the bar will not move, which carries a genuine risk of injury and demands warm-up sets, correct loading and a competent spotter. Estimating from a set you have already completed safely avoids that exposure. You take a weight you lifted for a known number of reps and feed it into a formula, and the formula returns a predicted maximum. The output is a prediction, not a measurement, and that distinction matters every time the number is used. A prediction drawn from a set of five is usually within a few per cent of the truth, which is close enough to plan a training block and far short of what would justify a maximal attempt.
Two formulas dominate the field. Epley writes the estimate as 1RM = w x (1 + reps/30), while Brzycki writes it as 1RM = w x 36 / (37 - reps). Both rest on the same assumption — that the relationship between load and repetitions is predictable — but they encode it in different mathematical shapes. For 100 kg lifted for five reps, Epley gives 116.6667 and Brzycki gives 112.5, a gap of 4.1667 kg between two formulas fed identical data. Seeing both numbers side by side is more informative than seeing either alone, because the gap itself is a rough error bar on the estimate.
The difference comes from how the two were derived. They were fitted to different data sets and use different curves: Epley is linear in the rep count, while Brzycki is a ratio whose denominator shrinks as reps rise, so it climbs faster. At low repetitions the two nearly agree, and as the rep count increases they pull apart. Neither is uniquely correct, because both are approximations of an individual's physiology, and the spread between them is a useful, honest picture of how uncertain any single estimate is. A reasonable habit is to treat the lower of the two as a conservative working figure and the higher as an optimistic one, rather than pretending a single number is exact.
Accuracy falls as the set moves further from a genuine maximum effort. Past roughly ten reps, the assumption that a set reflects maximal strength breaks down, because local fatigue, technique drift and cardiovascular endurance start to shape how many reps are possible. Most coaches treat anything beyond ten to twelve reps as unusable for estimating a one rep max. This is the single most important limitation of the whole method, and it is why the rep count belongs in the estimate alongside the weight. A set of twenty reps is a test of muscular endurance as much as of strength, so the two abilities no longer line up and the extrapolation loses its footing.
The formulas also fit some movements better than others. They were largely derived from compound barbell lifts such as the bench press and the squat, and they track those closely. Upper-body pulling movements, isolation exercises and machine lifts tend to deviate more, and upper-body work in general shows larger error than lower-body work. A formula tuned on the squat can over- or under-predict the overhead press by several per cent, which is enough to change a working weight materially. The practical consequence is that an estimate borrowed from a squat table should be treated as a starting guess for the overhead press and adjusted after a few honest sets.
Even for one person, the same formula fits some exercises well and others poorly. The squat and bench press are the best studied; the deadlift, the overhead press and most machine exercises are less so. If accuracy matters for a particular lift, the reliable route is to test that lift carefully or to calibrate the formula against your own repeated measurements rather than borrowing a number from a table. Calibration, not blind trust, is what turns an estimate into something usable. Two or three honest sets at different rep counts, compared against the formula's predictions, quickly reveal whether the formula runs high or low for a particular lift and lifter.
The real purpose of the estimate is programming. It lets you choose working loads as percentages of the predicted maximum, set sensible starting weights, and track whether strength is trending up over weeks. It is a planning tool, not a scoreboard, and the number is only as trustworthy as the set it came from. Treating the estimate as an exact capability, and loading a bar you have never actually handled, is how a useful planning figure becomes a failed or dangerous lift. Used as intended, it makes week-to-week loading decisions straightforward and keeps the focus on consistent, well-executed sets rather than on chasing a number.
Estimating is far safer than testing, but the safety still depends on how the input is gathered. Use a set you completed with clean technique, warm up thoroughly beforehand, and keep the rep count low enough for the formulas to mean something. The estimate is for arranging training loads; directly testing a one rep max needs a spotter and experience. Nothing in a predicted number removes the need for preparation on the day a maximal lift is actually attempted. Keep the estimate where it belongs, in the training plan, and let any true maximum be earned slowly, under supervision, with the technique already well established.
Formula
1RM = w x (1 + reps/30)
The simpler of the two forms. The load is multiplied by a factor that grows linearly with the number of repetitions completed.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| w | Weight lifted | kg or lb | The load you actually completed for the given reps, not a weight you merely attempted. |
| reps | Repetitions completed | reps | Best kept at ten or fewer; the estimate loses meaning as this grows. |
| 1RM | Estimated one rep max | kg or lb | A prediction of maximal strength, not a measured maximum. |
1RM = w x 36 / (37 - reps)
A ratio rather than a linear factor. Because the denominator shrinks as reps rise, it diverges from Epley at higher rep counts, which is why the two rarely agree.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| w | Weight lifted | kg or lb | The same input as the Epley form; the formulas differ only in shape. |
| reps | Repetitions completed | reps | As reps approach thirty-seven the denominator approaches zero, so the formula is only sensible at low rep counts. |
Load = 1RM x share, Reps = 30 x (1/share - 1)
Turns the estimate into training numbers: the load for a chosen percentage of the maximum, and the number of reps that percentage typically supports.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| share | Share of the one rep max | decimal | Written as a decimal: 0.9 for a heavy working set, 0.75 for a lighter one. |
| 1RM | Estimated one rep max | kg or lb | Usually the Epley figure, though either estimate works as a starting point. |
How To Calculate One Rep Max
- 1
Complete a set with clean technique
Choose a weight you can lift for a known number of reps with good form, ideally five or fewer. The whole estimate rests on this set being a genuine effort rather than a comfortable warm-up, so it must be a set you actually finished. If in doubt, use a set on which you could have taken one or two more reps rather than one taken to absolute failure.
- 2
Record the weight and the reps exactly
For 100 kg for five reps, note both numbers precisely. A rounded weight or an uncertain rep count feeds straight into the estimate, and the formulas will happily produce a confident-looking answer from sloppy inputs.
- 3
Apply the Epley formula for the primary estimate
100 x (1 + 5/30) = 116.66667. This is the figure most programming tables assume, and it is the one the calculator reports first.
- 4
Apply the Brzycki formula as a cross-check
100 x 36 / (37 - 5) = 112.5. The two formulas differ by 4.1666667 kg on this set, which tells you the estimate carries a few kilograms of uncertainty and should not be treated as exact.
- 5
Convert the estimate into working loads
Take 90 per cent for a heavy set: 116.66667 x 0.9 = 105. A 75 per cent load typically supports around ten reps, so the single estimate becomes a set of training numbers rather than one figure. Written down, these figures cover a week of sessions without any further arithmetic.
Examples
Example 1: A 100 kg set of five, under both formulas
- Weight lifted
- 100 kg
- Repetitions completed
- 5
| Step | Calculation | Result |
|---|---|---|
| Epley estimate | 100 x (1 + 5/30) | 116.66667 |
| Brzycki estimate | 100 x 36 / (37 - 5) | 112.5 |
| Gap between the two formulas | 116.66667 - 112.5 | 4.1666667 |
Result: The same 100 kg set of five gives 116.66667 kg under Epley and 112.5 kg under Brzycki, a gap of 4.1666667 kg between two formulas fed identical data.
Example 2: Turning the estimate into working loads
- Estimated one rep max
- 116.66667 kg
| Step | Calculation | Result |
|---|---|---|
| Heavy working set at 90 per cent | 116.66667 x 0.9 | 105 |
| Lighter working set at 75 per cent | 116.66667 x 0.75 | 87.5 |
Result: From an estimated 116.66667 kg, a 90 per cent set works out to 105 kg and a 75 per cent set to 87.5 kg, which is how a single estimate becomes a week of training numbers.
Example 3: How many reps a lighter load supports
- Load as a share of the one rep max
- 75 per cent
| Step | Calculation | Result |
|---|---|---|
| The 90 per cent working set | 116.66667 x 0.9 | 105 |
| Reps a 75 per cent load typically supports | 30 x (1 / 0.75 - 1) | 10 |
Result: The same estimate puts a heavy working set at 105 kg and implies that a 75 per cent load typically supports 10 reps, so the estimate describes both a weight and a rep range.
Calculator
Estimated one rep max (Epley)
116.6667
- The same set under the Brzycki formula
- 112.5
- Load for a 90 per cent working set
- 105
- Reps a 75 per cent load typically supports
- 10
Values update as you type. This calculator covers the single scenario its formula assumes — see Common Mistakes for what it leaves out.
Prefer a full-width tool? Open the One Rep Max calculator page.
Common Mistakes
Treating the estimate as a measured maximum
A predicted 116.6667 kg does not mean the bar will move. Loading it as though it had been tested invites a failed or dangerous lift; the estimate exists to arrange training loads, not to justify a maximal attempt. The gap between prediction and performance is widest precisely at maximal loads.
Estimating from a set of fifteen or more reps
Beyond about ten reps, fatigue and endurance distort the relationship between load and strength, and the formulas drift badly. A high-rep set should not be fed into a one rep max estimate at all, however tempting the arithmetic looks.
Attempting a true maximum without warming up or a spotter
Direct testing is a maximal effort and needs progressive warm-up sets, correct loading and a competent spotter. Skipping that preparation is how a testing day turns into an injury rather than a number.
Mixing formulas and comparing the results across sessions
Epley and Brzycki give different numbers for the same set — 116.6667 against 112.5 on 100 kg for five reps. Switching between them makes a training log look as though strength changed when only the formula did.
Comparing weights across exercises or after a technique change
A squat one rep max and an overhead press one rep max are not interchangeable, and a lift performed with a shortened range or a bounce is not the same lift. Changed technique makes the weight incomparable even within a single exercise. Keep technique consistent between the set you estimate from and the sessions you programme with it.
FAQ
What exactly does one rep max mean?
It is the heaviest load you can lift once, with good technique and a full range of motion. Anything more than a single repetition is by definition not a one rep max, which is why a set of five has to be converted before it can be compared with a true maximum.
Why not just test my one rep max directly?
Because a true test is a maximal lift with real injury risk, and it needs warm-up sets, correct loading and a spotter. Estimating from a set you already completed safely is far less demanding and accurate enough for setting working loads. At low rep counts the estimate is typically within a few per cent, which is ample for choosing a working weight.
Why do Epley and Brzycki disagree?
They were fitted to different data and use different shapes: Epley is linear in the rep count while Brzycki is a ratio. On 100 kg for five reps they give 116.6667 and 112.5, and that 4.1667 kg gap is a fair picture of the uncertainty built into any estimate.
How many reps can I use before the estimate breaks down?
Keep to about ten or fewer. Past that point fatigue, technique drift and endurance dominate and the formulas become unreliable; many coaches refuse to estimate from anything beyond ten to twelve reps, and a set of fifteen is well outside useful range. If a high-rep set is all you have, treat the output as a rough ceiling rather than a real maximum.
Can I use one estimate for every exercise?
No. The formulas fit compound barbell lifts such as the squat and bench press best, and upper-body and isolation movements deviate more. For a lift you care about, test it carefully or calibrate the formula against your own repeated results rather than reusing a number from elsewhere.
References
- [1]Wikipedia, One-repetition maximum — https://en.wikipedia.org/wiki/One-repetition_maximum
- [2]Wikipedia, Strength training — https://en.wikipedia.org/wiki/Strength_training
- [3]Wikipedia, Physical exercise — https://en.wikipedia.org/wiki/Physical_exercise