最小公倍數 (LCM) 計算器
逐步求最小公倍數
此計算器會找出給定正數的最小公倍數,並顯示步驟,可使用因數分解法或質因數分解法。
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 $$$\color{Green}{72}$$$: $$$\color{Red}{72}, 144$$$
- 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: $$$LCM\left(8, 72, 24\right)=72$$$.
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