최소공배수(LCM) 계산기

최소공배수를 단계별로 구하기

이 계산기는 인수분해 방법 또는 소인수분해 방법을 사용하여 단계별 풀이와 함께 주어진 양수들의 최소공배수를 찾아줍니다.

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 $$$\color{Green}{72}$$$: $$$\color{Red}{72}, 144, 216$$$
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: $$$LCM\left(8, 72, 24\right)=72$$$.