Question

If product of two numbers is 250 and their HCF is 5, then LCM of those number will be .

Answer 1

Given that HCF of two numbers is 5, hence these two numbers must be multiples of 5.

We assume first number is $5x$ and second number is $5y$.
$\Rightarrow 5x\times 5y=250\Rightarrow xy=10$

Here, possible values of $x\&y$ are $1\&10,2\&5$.

That means, possible numbers are $5\&50,10\&25$

LCM of either of these combination of numbers is 50.