Question

Find the $HCF$ and $LCM$ of $120$ and $144$ by fundamental Theorem of Arithmetic.

Answer 1

Factorize the numbers

$120=2\times 2\times 2\times 3\times 5$

$144=2\times 2\times 2\times 2\times 3\times 3$

$HCF=Highestcommonfactor=2\times 2\times 2\times 3=24$

$LCM=Lowestcommonmultiple=2\times 2\times 2\times 2\times 3\times 3\times 5=720$