# What is the LCM of 12, 16 and 24?

LCM of 12, 16 and 24 is the lowest number which is exactly divisible by 12, 16 and 24

## Answer: LCM of 12, 16 and 24 is 48

We will learn two methods to find LCM of 12, 16 and 24

## Explanation:

Least Common Multiple of 12, 16 and 24 is the smallest number which is exactly divisible by 12, 16 and 24

- LCM of 12, 16 and 24 by Listing Common Multiples
- LCM of 12, 16 and 24 by Prime Factorization

### Method 1: LCM of 12, 16 and 24 by Listing Method

**Step 1: **Write the first few multiples of both the given numbers.

**Step 2: **Spot the common multiples amongst the listed ones.

**Step 3: **The one which is the smallest amongst the common ones is LCM

### Method 2: LCM of 12, 16 and 24 by Prime Factorisation Method

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

Prime Factorisation of 12: 2^{ }×^{ }2 × 3 = 2^{2 }× 3

Prime Factorisation of 16: 2^{ }×^{ }2× 2^{ }×^{ }2 = 2^{4}

Prime Factorisation of 24: 2^{ }×^{ }2× 2^{ }×^{ }3 = 2^{3 }× 3

LCM of 12, 16 and 24: 2^{4}^{ }× 3 = 48

Irrespective of the method, the solution to our question is the same.