Question

Find the LCM of $40,36$and $126$ using prime factorization.

Answer 1

Solve for the required LCM

The prime factors of $36,40$ and $126$ are as given below,

$126=2\times 3\times 3\times 7=2\times 3^2\times 7$

$36=2\times 2\times 3\times 3=2^2\times 3^2$

$40=2\times 2\times 2\times 5=2^3\times 5$

$\therefore$L.C.M.$(36,40,126)=2^3\times 3^2\times 5\times 7$

$\Rightarrow$L.C.M.$(36,40,126)=2520.$

Hence, the LCM of$36,40$ and $126$ is $2520.$