Question

Answer the following :

If the product of two numbers is $288$ and their HCF is $12$, what is their LCM?

Answer 1

Let Suppose we have two numbers $a$ and $b$, then we have a rule i.e $a\times b=HCF(a,b)\times LCM(a,b)$, which means that product of those two numbers is equal to the product of their LCM and HCF

Given : $a\times b=288$ and $HCF=12$

so using the property, we have $288=12\times LCM(a,b)$

$\frac{288}{12}=LCM(a,b)$

$24=LCM(a,b)$