最小公倍数(LCM)計算機
計算機は、因数分解法または素因数分解法のいずれかを使用して、示されているステップで、与えられた正の数の最小公倍数を見つけます。
Solution
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 $$$\color{Green}{8}$$$: $$$8, 16, 24, 32, 40, 48, 56, 64, \color{Red}{72}, 80, 88, 96, 104$$$
- Multiples of $$$\color{Green}{72}$$$: $$$\color{Red}{72}, 144, 216, 288, 360$$$
- Multiples of $$$\color{Green}{24}$$$: $$$24, 48, \color{Red}{72}, 96$$$
The smallest common (all numbers share it) multiple is highlighted.
Thus, $$$LCM\left(8, 72, 24\right)=72$$$.
Answer: $$$LCM\left(8, 72, 24\right)=72$$$.