# What is the LCM of 378, 180 and 420?

To find the LCM of 378, 180 and 420, we need the least number which is exactly divisible by both 378, 180 and 420.

## Answer: LCM of 378, 180 and 420 is 3780

The Least Common Multiple (LCM) of three numbers a, b and c is the smallest number which is divisible by a, b and c exactly without leaving any remainder.

## Explanation:

We will explain the common division method to find the least common multiple of 378, 180 and 420.

### LCM of 378, 180 and 420 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 378, 180 and 420 = 3780

Clearly, 3780 is the least common multiple of 378, 180 and 420. So, LCM of 378, 180 and 420 is 3780.