Question

Lcm and hcf of two numbers are 2970 and 30 find the prime factors of their product

Answer 1

Solution:

The prime factors of the product of the numbers are 2,3,5 and 11.

Explanation:

We have been given that LCM and HCF of two numbers are 2970 and 30.

Now, we know that the product of LCM and HCF of two numbers is equal to the product of the numbers.

Therefore, in order to find the  prime factors of product of the numbers, we can find the prime factors of the product of their LCM and HCF.

$2970\times 30=89100$

The Prime Factorization of 89100 is:

2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 11

Therefore, the prime factors are 2,3,5 and 11.