Question

The product of two two-digit numbers is 765 and their HCF is 3. What is their LCM?

Answer 1

HCF × LCM = Product of two numbers
⇒ 3 × LCM = 765
$\Rightarrow \mathrm{LCM}=\frac{765}{3}$
= 255
Hence, the LCM of the two numbers is 255.