BA LLB Banaras Hindu University 2016 Solved Paper

Question : 108 of 170

Marks: +1, -0

The smallest number which is divisible by

12,15,20

and is a perfect square, is

Solution:

Required number

=n ×( {LCM}

a, b, c)

Where

n

is a multiple used to make a perfect square.

=n ×(

LCM of

12,15,20)=n ×(60)

On putting

n=1,2,3 . . . .

On putting

n=15

Required number

=15 × 60=900

which is a perfect square.

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