最小公倍数（LCM）計算機

最小公倍数を段階的に求める

この計算機は、与えられた正の数の最小公倍数を、手順を示しながら、因数分解法または素因数分解法のいずれかを用いて求めます。

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 $$$\color{Green}{8}$$$: $$$8, 16, 24, 32, 40, 48, 56, 64, \color{Red}{72}, 80, 88, 96, 104, 112$$$
Multiples of $$$\color{Green}{72}$$$: $$$\color{Red}{72}, 144, 216, 288, 360, 432$$$
Multiples of $$$\color{Green}{24}$$$: $$$24, 48, \color{Red}{72}, 96, 120, 144, 168$$$

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

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

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