Question

The product of two numbers is $133848$. If their HCF is $26$, find their LCm.

Answer 1

$Product=133848$

$HCF=26$

$\therefore$ the numbers are of the form

$26a$, $26b$

When $a$ and $b$ are coprime.

LCM of $(26a,16b)=26ab$

HCF $\times$ LCM $=$ product of numbers.

$26\times 26ab=133848$

$ab=\frac{133848}{676}=198$

$\therefore ab=198$

$LCM=26ab=26\times 198=5148$