# What is the LCM of 18, 36 and 27?

LCM is the least number which is exactly divisible by all the three given numbers.

## Answer: LCM of 18, 36 and 27 is 108

We will learn two methods to find LCM of 18, 36 and 27.

## Explanation:

Least Common Multiple is the smallest number which is exactly divisible by 18, 36 and 27

- LCM of 18, 36 and 27 by Listing Common Multiples
- LCM of 18, 36 and 27 by Prime Factorization

### Method 1: LCM of 18, 36 and 27 using List of Multiples Method

Follow the steps mentioned below to find the LCM of 18, 36 and 27 using List of Multiples Method.

**Step 1:** Write the multiples of all three numbers.

**Step 2:** Spot the ones which are common to the list of multiples of 3 numbers.

**Step 3: **Take the one which is the smallest among the common ones as the LCM.

### Method 2: LCM of 18, 36, and 27 by Prime Factorization

Here, we write each number in prime factored form. Then, take the product of all factors in their highest power.

Prime Factorisation of 18: 2 × 3^{2}

Prime Factorisation of 36: 2^{2 }× 3^{2}

Prime Factorisation of 27: 3^{3}

LCM of 18, 36 and 27: 2^{2 }× 3^{3 }= 108