Lean body mass calculator

Lean body mass (LBM) from height, weight and sex by the Boer, James and Hume formulas, with the implied body fat percentage.

Actualizado Ejemplos verificados: 4

Accepts 5'11" or 5 ft 11 in
Probar
Lean body mass (Boer)
kg
Lean body mass (Boer): 56.0 kg
Decimales: 1; Al más cercano; empates al dígito par
James
56.5kg
Hume
52.8kg
Implied body fat (Boer)
20.0%

About 56 kg of your 70 kg is lean mass by the Boer formula, leaving roughly 20 % as fat; the 3 formulas range from 52.8 to 56.5 kg.

Body composition (Boer)

20%fat
Lean mass56 kgFat mass14 kg
Cómo se calcula S
  1. Inputs in kilograms and centimetres

    w=70 kg,h=175 cmw = 70\ \text{kg},\quad h = 175\ \text{cm}
  2. Boer

    0.407×70+0.267×175−19.2=56.02 kg0.407 \times 70 + 0.267 \times 175 - 19.2 = 56.02\ \text{kg}
  3. James

    1.1×70−128×(70175)2=56.52 kg1.1 \times 70 - 128 \times \left(\frac{70}{175}\right)^2 = 56.52\ \text{kg}
  4. Hume

    0.32810×70+0.33929×175−29.5336=52.81 kg0.32810 \times 70 + 0.33929 \times 175 - 29.5336 = 52.81\ \text{kg}
  5. Implied body fat

    (1−56.0270)×100=20.0%\left(1 - \frac{56.02}{70}\right) \times 100 = 20.0\%

Acerca de Lean body mass calculator

Lean body mass (LBM) is body weight minus fat: muscle, bone, organs, skin and body water. It is estimated here from height, weight and sex with three regression formulas, Boer (1984), James (1976) and Hume (1966). Subtracting the Boer estimate from your weight gives an implied body fat percentage.

Clinicians use LBM to scale some drug doses and fluid volumes, and the Katch-McArdle equation uses it to estimate resting energy needs. For a man weighing 70 kg at 175 cm the three formulas give 52.8 to 56.5 kg, and Boer's 56.0 kg implies about 20 % body fat.

The formulas assume average body composition for a given height and weight, so they cannot see unusual muscle or fat. The James formula peaks and then falls as weight rises, which underestimates lean mass in obesity (Green and Duffull, 2002). A tape or skinfold measurement adds information about your own build.

Ejemplos resueltos

Man, 70 kg, 175 cm

Sex (for the formula)
Male
Weight
70 kg
Altura
175 cm
Lean body mass (Boer)
56.0 kg
James
56.5 kg
Hume
52.8 kg
Implied body fat (Boer)
20.0%

Fuente de comprobación: Python 3.8 decimal: 0.407·70 + 0.267·175 − 19.2; 1.1·70 − 128·(70/175)²; 0.32810·70 + 0.33929·175 − 29.5336

Woman, 60 kg, 165 cm

Sex (for the formula)
Female
Weight
60 kg
Altura
165 cm
Lean body mass (Boer)
44.9 kg
James
44.6 kg
Hume
43.4 kg
Implied body fat (Boer)
25.2%

Fuente de comprobación: Python 3.8 decimal: 0.252·60 + 0.473·165 − 48.3; 1.07·60 − 148·(60/165)²; 0.29569·60 + 0.41813·165 − 43.2933

Obesity: James falls below the others

Sex (for the formula)
Male
Weight
150 kg
Altura
175 cm
Lean body mass (Boer)
88.6 kg
James
71.0 kg
Hume
79.1 kg

Fuente de comprobación: Python 3.8 decimal; James peaks at 1.1·175²/256 = 131.6 kg and declines beyond it (Green & Duffull 2002)

Imperial: 180 lb, 5 ft 10 in woman

Sex (for the formula)
Female
Weight
180 lb
Altura
70 in
Lean body mass (Boer)
56.4 kg
James
56.2 kg
Hume
55.2 kg

Fuente de comprobación: Python 3.8 decimal after 180 lb = 81.6466 kg and 70 in = 177.8 cm

Preguntas

Is lean body mass the same as muscle mass?

No. Lean body mass is everything that is not fat: muscle, bone, organs, skin, blood and body water. Skeletal muscle is the largest part but not all of it. In an MRI study of 468 adults, Janssen and colleagues (2000) measured skeletal muscle at 38.4 % of body weight in men and 30.6 % in women, while a man with 20 % body fat has lean mass equal to 80 % of his weight.

How is lean body mass calculated from height and weight?

With a regression formula fitted to measured body composition. Boer's is 0.407 × weight + 0.267 × height − 19.2 for men and 0.252 × weight + 0.473 × height − 48.3 for women, with weight in kg and height in cm. For a 60 kg woman 165 cm tall that gives 44.9 kg, which implies 25.2 % body fat, in the ACE average range for women.

Why does the James formula give low values for heavy people?

Its squared term, 128 × (weight ÷ height)² for men, grows faster than the 1.1 × weight term, so estimated lean mass peaks and then falls as weight rises. At 175 cm the peak for men is at 131.6 kg, and a 150 kg man gets 71.0 kg against Boer's 88.6 kg. Green and Duffull (2002) cautioned against using it as a size descriptor for obese patients.

What is a normal lean body mass percentage?

It is 100 % minus body fat percentage. The American Council on Exercise's average body fat ranges, 18–24 % for men and 25–31 % for women, correspond to lean mass of 76–82 % and 69–75 % of body weight. Athletes sit higher: ACE's athlete ranges of 6–13 % and 14–20 % fat mean 87–94 % and 80–86 % lean mass.

¿Qué precisión tiene «Lean body mass calculator»?

La precisión depende de tus datos y de los supuestos del método. El cálculo decimal usa 50 cifras significativas, pero las estimaciones, los métodos numéricos y los datos de origen pueden ser menos precisos; el redondeo mostrado no elimina esos límites. Ejemplos resueltos comprobados con fuentes independientes: 4. Por ejemplo, «Man, 70 kg, 175 cm» se comprueba con Python 3.8 decimal: 0.407·70 + 0.267·175 − 19.2; 1.1·70 − 128·(70/175)²; 0.32810·70 + 0.33929·175 − 29.5336.

¿De dónde procede el método?

Boer P. Estimated lean body mass as an index for normalization of body fluid volumes in humans. Am J Physiol 1984;247:F632–F636; James WPT. Research on obesity. London: HMSO, 1976 (DHSS/MRC Group report); Hume R. Prediction of lean body mass from height and weight. J Clin Pathol 1966;19:389–391; Green B, Duffull SB. Caution when lean body weight is used as a size descriptor for obese subjects. Clin Pharmacol Ther 2002;72:743–744.

Acerca de esta calculadora

Boer (M)=0.407w+0.267h−19.2(F)=0.252w+0.473h−48.3James (M)=1.1w−128(wh)2(F)=1.07w−148(wh)2Hume (M)=0.32810w+0.33929h−29.5336(F)=0.29569w+0.41813h−43.2933\begin{aligned}\text{Boer (M)} &= 0.407w + 0.267h - 19.2 & \text{(F)} &= 0.252w + 0.473h - 48.3\\ \text{James (M)} &= 1.1w - 128\left(\tfrac{w}{h}\right)^2 & \text{(F)} &= 1.07w - 148\left(\tfrac{w}{h}\right)^2\\ \text{Hume (M)} &= 0.32810w + 0.33929h - 29.5336 & \text{(F)} &= 0.29569w + 0.41813h - 43.2933\end{aligned}

Fuentes

  1. Boer P. Estimated lean body mass as an index for normalization of body fluid volumes in humans. Am J Physiol 1984;247:F632–F636
  2. James WPT. Research on obesity. London: HMSO, 1976 (DHSS/MRC Group report)
  3. Hume R. Prediction of lean body mass from height and weight. J Clin Pathol 1966;19:389–391
  4. Green B, Duffull SB. Caution when lean body weight is used as a size descriptor for obese subjects. Clin Pharmacol Ther 2002;72:743–744

Solo información, no consejo médico. Estas fórmulas describen poblaciones, no tu situación personal; consulta a un profesional sanitario antes de actuar según un resultado.

Verificado con las referencias

Esta calculadora incluye 4 ejemplos resueltos con respuestas de fuentes independientes. Forman parte del conjunto de pruebas y también puedes ejecutarlos aquí.

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