Q. 63.9( 36 Votes )

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

Answer :

The no. will always be divisible by their LCM which is 60.
It can be shown.

Let the number be p.

p = 12 × q               [Given: p is divisible by 12]

Also, p is divisible by 5, but 12 is not divisible by 5, and do not have any factor common
So, q is divisible by 5.

p = 12 × (5 × r)

p= (12 × 5)r

p= 60r

So the number is divisible by 60.

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