# 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.

Интерактивная версия: https://www.calcopenly.com/ru/health/lean-body-mass-calculator
Тема: Калькуляторы здоровья и фитнеса

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.

## Входные данные

- **Sex (for the formula)** (варианты: Male, Female)
- **Weight**
- **Высота**: Accepts 5'11" or 5 ft 11 in

## Результаты

- Lean body mass (Boer) (kg) — основной результат
- James (kg)
- Hume (kg)
- Implied body fat (Boer)

## Формула

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

## Примеры с решением

### Man, 70 kg, 175 cm

- Sex (for the formula): Male
- Weight: 70 kg
- Высота: 175 cm
- **Lean body mass (Boer): 56.0 kg**
- **James: 56.5 kg**
- **Hume: 52.8 kg**
- **Implied body fat (Boer): 20.0%**
- Источник проверки: 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
- Высота: 165 cm
- **Lean body mass (Boer): 44.9 kg**
- **James: 44.6 kg**
- **Hume: 43.4 kg**
- **Implied body fat (Boer): 25.2%**
- Источник проверки: 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
- Высота: 175 cm
- **Lean body mass (Boer): 88.6 kg**
- **James: 71.0 kg**
- **Hume: 79.1 kg**
- Источник проверки: 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
- Высота: 70 in
- **Lean body mass (Boer): 56.4 kg**
- **James: 56.2 kg**
- **Hume: 55.2 kg**
- Источник проверки: Python 3.8 decimal after 180 lb = 81.6466 kg and 70 in = 177.8 cm

## Вопросы

### 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.

### Насколько точен «Lean body mass calculator»?

Точность зависит от введённых данных и допущений метода. Десятичная арифметика использует 50 значащих цифр, но оценки, численные методы и исходные данные могут быть менее точными; округление на экране не устраняет эти ограничения. Решённые примеры, проверенные по независимым источникам: 4. Например, «Man, 70 kg, 175 cm» проверяется по источнику 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.

### Откуда взята методика?

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.

## Источники

- 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](https://jcp.bmj.com/content/19/4/389)
- 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

_Только для информации, не медицинская рекомендация. Формулы описывают группы населения, а не вас лично; посоветуйтесь с врачом, прежде чем действовать на основании результата._