Question

6
numbers.
Find the least number which is a perfect square and is
divisible by each of 16, 20 and 24​

Answer 1

Step-by-step explanation:

First we will calculate the LCM by Prime Factorisation.

16 = 2x2x2x2

20 = 2x2x5

24 = 2x2x2x3

LCM = 2x2x2x2x3x5

For the no. to be perfect square, it must have each no. in pair of two.

No= 2x2x2x2x3x3x5x5

= 3600

Answer 2

First we will calculate the LCM by Prime Factorisation.

16 = 2x2x2x2

20 = 2x2x5

24 = 2x2x2x3

LCM = 2x2x2x2x3x5

For the no. to be perfect square, it must have each no. in pair of two.

No= 2x2x2x2x3x3x5x5

= 3600

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