Lean Body Mass (James Formula) Calculator

Estimate your lean body mass using the James formula.

How it is calculated

The James equation uses the ratio of weight to height squared in a quadratic term. For men: LBM = 1.1 × W − 128 × (W / H)². For women: LBM = 1.07 × W − 148 × (W / H)². W is weight in kilograms and H is height in centimetres. Fat mass is W − LBM and body fat is that figure divided by W, times 100. Any sex value other than female uses the male line. The tool gives no result for empty, zero or negative weight or height, nor when the lean mass would be negative or above total weight. Because the weight ratio is squared, lean mass can fall as weight rises at very high weights, so treat the output as a rough estimate.

Worked example

A woman weighs 60 kg and is 165 cm tall. The ratio W / H is 60 / 165 = 0.3636, and its square is 0.1322. Weight part: 1.07 × 60 = 64.2. Correction: 148 × 0.1322 = 19.57. Lean body mass is 64.2 − 19.57 = 44.63 kg. Fat mass is 60 − 44.63 = 15.37 kg, which is 15.37 / 60 × 100 = 25.62% body fat.

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Common mistakes

  • Entering pounds or inches. The fields are kilograms and centimetres, and 165 cm typed as 65 (inches) makes the weight-to-height ratio huge and the tool returns nothing.
  • Expecting more weight to always mean more lean mass. With the same 170 cm height, the engine gives 65.71 kg lean mass at 100 kg but only 42.84 kg at 200 kg, because the squared term grows faster than the weight term.
  • Forgetting to pick the sex. Anything other than female uses the male coefficients, which give a higher lean mass.
  • Treating body fat percent as a measured value. It is simply weight minus the estimate, so it ignores muscle mass, bone density and water.
  • Entering height in metres (1.8). The result is blank, since the ratio becomes absurd.

Sources

About this calculator

Lean body mass is total body weight minus fat mass — everything that isn't fat, including muscle, bone, organs, and water. The James formula is one of several published equations that estimate it from easily measured inputs: weight, height, and sex, using separate coefficients for men and women rather than requiring a body-fat measurement device.

Because lean mass drives resting metabolic rate more than total weight does, it's used by clinicians, dietitians, and sports scientists to set protein intake targets, dose certain medications by lean mass rather than total body weight, and track whether a training or diet program is preserving muscle or just shedding weight.

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