Question

find the smallest perfect square divisible by 3,4,5,6

Answer 1

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To find least perfect square number which is divisible by 3, 4, 5, 6 and 8. 120 = 2 x 2 x 2 x 3 x 5. As 2,3 and 5 are not in pair in LCM's factor so we need to multiply 120 by 5 and 3,2 to make it a perfect square. 120 x 2 x 5 x 3 = 3,600....

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Answer 2

Answer:

The Required perfect square is 900.          

Step-by-step explanation:

To find : The smallest perfect square divisible by 3,4,5,6 ?

Solution :

First we take LCM of 3,4,5,6,

2 | 3  4  5  6

2 | 3  2  5  3

3 | 3  1   5  3

5 | 1   1   5  1

  |  1  1   1   1

$LCM(3, 4, 5, 6) = 2\times 2\times 3\times 5$

In LCM, 3 and 5 are not in pairs so we should multiple it by 3 and 5.

i.e. $60\times 15=90$  

The Required perfect square is 900.