Find the least square numbers divisble by 3,4,5,6 and 8
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To find least perfect square number which is divisible by 3, 4, 5, 6 and 8.
LCM (3, 4, 5, 6 ,8) = 120
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.
∴ 3600 is the least perfect square divisible by 3, 4, 5, 6 and 8.
To find least perfect square number which is divisible by 3, 4, 5, 6 and 8.
LCM (3, 4, 5, 6 ,8) = 120
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.
∴ 3600 is the least perfect square divisible by 3, 4, 5, 6 and 8.
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