Question

find the HCF of 96 and 404 by prime factorization method. Hence find their LCM.

Answer 1

96 = 2 × 2 × 2 × 2 × 2 × 3

404 = 2 × 2 × 101

HCF ( 96, 404) = 4

LCM ( 96, 404) = 2 × 2 × 2 × 2 × 2 ×3 × 101

= 32×3 × 101

= 9696

Answer 2

Hey dear!

Here is yr answer.......

HCF of 96 and 404 by prime factorization method----

96 = 2 × 2 × 2 × 2 × 2 × 3

= 2^5 × 3

404 = 2 × 2 × 101

= 2^2 × 101


Here, 4 is the HCF of 96 and 404


LCM of 96 and 404----


HCF × LCM = product of two nos.

4 × LCM = 96 × 404

LCM = 96×404/4

LCM = 9696


Hope it hlpz....