Question

find hcf of456 and120 by prime factorisation method and hence find their LCM

Answer 1

Answer :

First we make prime factorisation of 456 and 120 :

456 = 2 $\times$ 2 $\times$ 2 $\times$ 3 $\times$ 19

And

120 = 2 $\times$ 2 $\times$ 2 $\times$ 3 $\times$ 5

So,

HCF ( 456 and 120 ) = 2 $\times$ 2 $\times$ 2 $\times$ 3 = 24 ( Ans )

And

LCM ( 456 and 120 ) = 2 $\times$ 2 $\times$ 2 $\times$ 3 $\times$ 5 $\times$ 19 = 2280 ( Ans )