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Body Composition

Fat-free mass index

Lean mass divided by height in metres squared. Removes most of the effect of stature so different-sized people can be compared.

The Formula

FFMI = LBM / height(m)^2

Lean mass divided by height in metres squared. Removes most of the effect of stature so different-sized people can be compared.

SymbolMeaning
LBMLean body mass
hHeight
FFMIFat-free mass index

What Each Symbol Means

LBMkilograms

Lean body mass

Estimated lean mass in kilograms.

hmetres

Height

Height in metres, so centimetres divided by 100.

FFMIkilograms per square metre

Fat-free mass index

Lean mass normalised for height.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate lean body mass page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate Lean Body Mass, filed under Health. Every number the guide produces comes from substituting into this one line.