Question

180,200,240, find the lcm by prime factorization method

Answer 1

Answer :

First we make prime factors of our given numbers 180 , 200 , 240

180 = 2 $\times$ 2 $\times$ 3 $\times$ 3 $\times$ 5

200 = 2 $\times$ 2 $\times$ 2 $\times$ 5 $\times$ 5

And

240 = 2 $\times$ 2 $\times$ 2 $\times$ 2 $\times$ 3 $\times$ 5

So,

LCM ( 180 , 200 and 240 ) = 2 $\times$ 2 $\times$ 2 $\times$ 2 $\times$ 3 $\times$ 3 $\times$ 5 $\times$ 5 = 3600 ( Ans )