Math, asked by bhhaveshshankarmurth, 10 months ago

find the smallest square number which is divisble by 8 ,12and 15

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Answered by Anonymous

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Originally Answered: What is the least square number which is exactly divisible by thenumbers 8, 12, 15, and 20? LCM = 2^3x3x5 = 120. Multiply 120 by 2, 3 and 5 to get 3600 which is a square of 60. and divisible by 8,12, 15 and 20.

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Answered by vijay357862

Answer:

HCF-20

8=2×2×2=2³

12=2×2×3=2²×3

15=3×5

20=2×2×5=2²×5

a number which is divisible by each of them should contain

2³x3x5

If it is a perfect square number,it should have even powers.

So,

2⁴×3²×5²=16×9×25

=3600

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