# What is the LCM of 8, 9, and 25?

LCM of 8, 9, and 25 is the smallest number of all the common multiples of 8, 9, and 25.

## Answer: LCM of 8, 9, and 25 is 1800.

The least common multiple is the least possible number which is exactly divisible by both the given numbers.

## Explanation:

Let's calculate LCM(8, 9, 25) by Common Division Method

In this division method,

- we divide the numbers simultaneously with prime numbers
- stop it when we don't have a prime number to divide the given numbers
- LCM is the product of the common prime divisors.

Here the given set of numbers do not have any common factor.

The GCF or greatest common factor of all those numbers is 1.

Therefore, the LCM of such numbers is just the product of the given numbers.

LCM(8, 9, and 25) = 8 × 9 × 25 = 1800.

LCM(8, 9, 25) is 1800. For an in-depth understanding of LCM, and more methods to calculate LCM, you can refer to the least common multiple of any given number.