Question

Find the LCM of the following by prime factorization method.

$64$,$72$,$96$,$192$

Answer 1

First, take the prime factor of $64$,$72$,$96$,$192$

$64=2\times 2\times 2\times 2\times 2\times 2$

$72=2\times 2\times 2\times 3\times 3$

$96=2\times 2\times 2\times 2\times 2\times 3$

$192=2\times 2\times 2\times 2\times 2\times 2\times 3$

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

LCM$=$$2^6\times 3^2=2\times 2\times 2\times 2\times 2\times 2\times 3\times 3=576$

Hence, the LCM of $64$,$72$,$96$,$192$ will be $576$.