Question

A number is divisible by both $5$ and $12$ by which other number will that number be always divisible ?

Answer 1

Factors of $5=1,5$
Factors of $12=1,2,3,4,6,12$
As the common factors of these number is $1$, the given two numbers are co-prime and the common will also be divisible by their product, i.e, $60$ and the factors of $60.$ i.e, $1,2,3,4,5,6,10,12,15,20,30,60.$