# What is the LCM of 4,7 and 14?

LCM of 4, 7 and 14 is the smallest number which divides 4,7 and 14 with no remainder left.

## Answer: LCM of 4, 7 and 14 is 28.

We will learn two methods to find LCM of 4, 7 and 14.

## Explanation:

Least Common Multiple of 4, 7 and 14 is the smallest number that exactly divides 4, 7 and 14 without leaving a remainder.

- LCM of 4, 7 and 14 by Common Division Method
- LCM of 4, 7 and 14 by Listing Common Multiples

### Method1: LCM of 4, 7 and 14 by Common Division Method

In this division method, we divide the numbers 4, 7 and 14 simultaneously with prime numbers and until we don't have a prime number to divide either of 4, 7 and 14

So, by this method LCM (4, 7, 14) = 28

### Method2: LCM of 4, 7 and 14 by Listing Common Multiples

The multiples of 4, 7 and 14 are:

- Multiples of 4 = 4, 8, 12, 16, 20, 24, 20, ...
- Multiples of 7 = 7, 14, 21, 28, ...
- Multiples of 14 = 14, 28, 42, ...

Least Common Multiple of 4, 7 and 14 = 28

The answer to LCM of 4, 7 and 14 is the same, irrespective of the methods used.