最小公倍数 (LCM) 计算器

逐步求最小公倍数

该计算器将使用因式分解法或质因数分解法，求出给定正数的最小公倍数，并显示步骤。

Your input: find theLCM of $$$8, 72, 24$$$ using factoring.

The LCM of numbers is the smallest number that is divisible by all given numbers.

Find some multiples of each number.

Multiples of $$$\color{Green}{8}$$$: $$$8, 16, 24, 32, 40, 48, 56, 64, \color{Red}{72}, 80, 88$$$
Multiples of $$$\color{Green}{72}$$$: $$$\color{Red}{72}, 144, 216, 288$$$
Multiples of $$$\color{Green}{24}$$$: $$$24, 48, \color{Red}{72}, 96, 120, 144, 168, 192$$$

The smallest common (all numbers share it) multiple is highlighted.

Thus, $$$LCM\left(8, 72, 24\right)=72$$$.

Answer: $$$LCM\left(8, 72, 24\right)=72$$$.