# What is the LCM of 36, 48, and 72?

The LCM of 36, 48, and 72 is the least number which is divisible by all the numbers 36, 48, and 72 without leaving any remainder.

## Answer: LCM of 36, 48, and 72 is 144

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

## Explanation:

The two methods that we are using to find LCM (36, 48, 72) are shown below.

- LCM of 36, 48, and 72 by Listing the Common Factors
- LCM of 36, 48, and 72 by Common Division Method

### Method 1: LCM of 36, 48, and 72 by Listing Method

We will list out the first few multiples of 36, 48, and 72 and determine the common multiples of 36, 48, and 72.

- Multiples of 36: 36, 72, 108,
, 180__144__ - Multiples of 48: 48, 96,
, 192__144__ - Multiples of 72: 72,
, 216__144__

The least among the common multiples is the LCM(36, 48, 72).

Here, 144 is the least common multiple of 36, 48, and 72.

LCM(36, 48, 72) = 144

### Method 2: LCM of 36, 48, and 72 by Common Division Method

In this division method, we divide the numbers 36, 48, and 72 simultaneously with prime numbers and stop the dividing process when we don't have a prime number to divide either of 36, 48, and 72.

LCM(36, 48, 72) =** **144

By using any of the above two methods, the answer to LCM of 36, 48, and 72 is the same.