Question

Find the $LCM$ and $HCF$ of the following integers by the prime factorization method:
$8,9$ and $25$.

Answer 1

$8,9$ and $25$
$8=2\ast 4=2\ast 2\ast 2=2^3\ast 1$,
$9=3\ast 3=3^2\ast 1$,
$25=5\ast 5=5^2\ast 1$.
$\therefore$ HCF of $8,9$ and $25=1$.
$\therefore$ LCM of $8,9$ and $25=2^3\ast 3^2\ast 5^2=1800$.