Question

Find the LCM of the following by the prime factorization method.

$6$,$8$,$45$

Answer 1

First, take the prime factor of $6$,$8$,$45$

$6=2\times 3$

$8=2\times 2\times 2$

$45=3\times 3\times 5$

In order to find LCM find the product of the greatest power of every prime factor.

LCM$=$$2^3\times 3^2\times 5=8\times 9\times 5=360$

Hence, the LCM of $6$,$8$,$45$ will be $360$.