# What is the LCM of 5, 7 and 10?

LCM of 5, 7 and 10 is the smallest number which is exactly divisible by all of them.

## Answer: LCM of 5, 7 and 10 is 30

Let us see how to find the LCM of 5, 7 and 10

## Explanation:

We can find the LCM by the following two methods:

- by Division Method
- using Common Multiples

Least Common Multiple of 5, 7 and 10 will be the smallest number that exactly divides 5,7 and 10 without leaving a remainder.

We will explain two methods to find the LCM of 5, 7 and 10

## Methods to Find LCM of 5, 7 and 10

### Method 1: LCM of 5, 7 and 10 by Division Method:

In this division method, we divide 5, 7 and 10 simultaneously with prime numbers and stop it when we don't have a prime number to divide 5, 7 and 10.

So, the least common multiple of 24 and 64 is given by 2 × 5 × 7 = 70. This means LCM(5, 7, 10) = 70

### Method 2: LCM of 5, 7 and 10 using Common Multiples:

Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70

Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77

Multiples of 10 = 10, 20, 30, 40, 50, 60, 70, 80

Clearly, 70 is the least common factor of 5, 7 and 10

Hence, LCM of 5, 7 and 10 = 70