# Least Common Multiple (LCM) Calculator

## Find the least common multiple step by step

The calculator will find the least (smallest) common multiple of the given positive numbers, with steps shown, using either the factoring method or the prime factorization method.

### 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 $$$\color{Green}{8}$$$: $$$8, 16, 24, 32, 40, 48, 56, 64, \color{Red}{72}, 80$$$
- Multiples of $$$\color{Green}{72}$$$: $$$\color{Red}{72}, 144, 216, 288, 360, 432$$$
- 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: $$$LCM\left(8, 72, 24\right)=72$$$.**