# What is the LCM of 4, 10 and 12?

To find the LCM of 4, 10 and 12, we need the least number which is exactly divisible by both 4, 10 and 12.

## Answer: LCM of 4, 10 and 12 is 60

The Least Common Multiple (LCM) of three numbers a, b and c is the smallest number that is divisible by a, b, and c completely.

## Explanation:

We will explain two methods to find the least common multiple of 4, 10 and 12.

- LCM (4, 10, 12) by Common Division Method
- LCM (4, 10, 12) by Listing Multiples Method

### Method 1: LCM of 4, 10 and 12 by Common Division Method

In this division method, we start dividing the numbers simultaneously with prime numbers and stop the process when we don't have a prime number to divide the given numbers.

LCM of 4, 10 and 12 is 60

### Method 2: LCM of 4, 10 and 12 by Listing Multiples Method

We will list the first few multiples of 4, 10 and 12 and find the common multiples of 4, 10, and 12

Clearly, 60 is the least common multiple of 4, 10 and 12. So, LCM of 4, 10 and 12 is 60

Observe that the solution to our question LCM of 4, 10 and 12 is the same in both methods.