Question

Find the least number which is divisible by 24, 14 and 16, and is a perfect square also.

Answer 1

Step-by-step explanation:

So, H.C.F. of 1095 and 1168 = 73. = L.C.M. of 16, 20, 24 = 240 = 2 x 2 x 2 x 2 x 3 x 5. To make it perfect square, it must be multiplied by 3 x 5. Required number = 240 x 3 x 5 = 3600.

Answer 2

Answer

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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

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