Question

Find the LCM of $40,48$and $45$.

Answer 1

Solve for the prime factors to calculate the LCM.

By prime factorization method, we can write the numbers $40,48,$ and$45$as:

$40=2x2x2x5$

$48=2x2x2x2x3$

$45=3x3x5$

$\therefore$L.C.M.$(40,45,48)=2x2x2x2x3x3x5$

$\Rightarrow$L.C.M.$(40,45,48)=720$

Hence, the LCM of $40,48$ and$45$ is $720$.