If the HCF of two numbers is $12$ and their LCM is $180$, and one number is $36$, the other number is:
Practice this question from Chapter Mock 1: Number System, Simplification and Approximation, with options and an explanation.
Question
If the HCF of two numbers is $12$ and their LCM is $180$, and one number is $36$, the other number is:
Option A
48
Option B
54
Option C — Correct answer
60
Correct choice.
Option D
72
Explanation
Product of the two numbers $=\text{HCF}\times\text{LCM}=12\times180=2160$. The other number is $2160\div36=60$.