# What is the LCM of 2, 4 and 7?

LCM of 2, 4 and 7 is the least number that is exactly divisible by 2, 4 and 7.

## Answer: LCM of 2, 4 and 7 is 60

We will learn two methods to find LCM of 2, 4, and 7.

## Explanation:

Least Common Multiple (LCM) is the smallest number that the given numbers divide perfectly.

- LCM of 2, 4 and 7 by Listing Common Multiples
- LCM of 2, 4 and 7 by Prime Factorization

### Method1: LCM of 2, 4 and 7 by Listing Method

**Step 1:** Write the multiples of 2, 4 and 7

**Step 2: **Spot the ones which are common to the multiples of 2, 4 and 7.

**Step 3: **Take the one which is the smallest among the common ones as the LCM of 2, 4 and 7.

### LCM of 2, 4 and 7 by Prime Factorization

Steps to find LCM 2, 4 and 7 by Prime Factorization are shown below.

**Step 1:** Write the prime factorized form which must be in exponential notation.

**Step 2: **Take the product of factors with their highest power.

Prime Factorised form of 2: 2

Prime Factorised form of 4: 2×2 = 2^{2}

Prime Factorised Form of 7: 7

Therefore, LCM of 2, 4 and 7: 2^{2 }× 7 = 28

Using any of the above methods, the solution to our question would remain the same.