# What is the least common multiple of 2, 5, and 3?

Jan 10, 2017

30

#### Explanation:

2, 5, 3

divided by 2
5 & 3 remain since it cannot be divided by 2
1, 5, 3

divided by 5
3 remain since it cannot be divided by 23
1, 1, 3

divided by 3
1, 1, 1

$2 \cdot 3 \cdot 5 = 30$
2,3 and 5 are prime numbers so the least common multiple will be their product: $2 \cdot 3 \cdot 5 = 30$