The Least Perfect Square, Which Is Divisible By Each Of 21, 36 And 66

1.	The Least Perfect Square, Which Is Divisible By Each Of 21, 36 And 66 Is?
Answer» L.C.M. of 21, 36, 66 = 2772 Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11 To MAKE it a perfect square, it must be MULTIPLIED by 7 x 11. So, required number = 2 x 2 x 3 x 3 x 7 x 7 x 11 x 11 = 213444. L.C.M. of 21, 36, 66 = 2772 Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11 To make it a perfect square, it must be multiplied by 7 x 11. So, required number = 2 x 2 x 3 x 3 x 7 x 7 x 11 x 11 = 213444.

The Least Perfect Square, Which Is Divisible By Each Of 21, 36 And 66 Is?

Answer»

L.C.M. of 21, 36, 66 = 2772 Now,

2772 = 2 x 2 x 3 x 3 x 7 x 11 To MAKE it a perfect square,

it must be MULTIPLIED by 7 x 11. So,

required number = 2 x 2 x 3 x 3 x 7 x 7 x 11 x 11 = 213444.

L.C.M. of 21, 36, 66 = 2772 Now,

2772 = 2 x 2 x 3 x 3 x 7 x 11 To make it a perfect square,

it must be multiplied by 7 x 11. So,

required number = 2 x 2 x 3 x 3 x 7 x 7 x 11 x 11 = 213444.

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The Least Perfect Square, Which Is Divisible By Each Of 21, 36 And 66 Is?

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