Question

The $LCM$ of two numbers is $600$ and their $HCF$ is $15.$ If one of the numbers is $75.$ Find the other number.

Answer 1

Given $LCM=600$

$HCF=15$

We know that $LCM\times HCF=$ Product of two numbers

$600\times 15=75\times$ second number

second number $=\frac{600\times 15}{75}=\frac{600}{5}=120$

$\therefore$ other number $=120$.