Find the smallest square number that is divisible by 8, 12,
15 and 20.
Answers
Answered by
1
the answer is 4 which is divisible by 8,12 and square of 2
priya1357:
sorry its 2
Answered by
7
Find the smallest square number that is divisible by 8, 12,
15 and 20
lcm of 8, 12,
15 and 20
=> 8 = 2*2*2
=>12 = 2*3*2
=>15 = 3*5
= > 20 = 2*2*5
now lcm = 2*2*2*3*5
Now for it to be a perfect square, it should have even powers
so
2*2*2*2*3*3*5*5
= 3600
:)
15 and 20
lcm of 8, 12,
15 and 20
=> 8 = 2*2*2
=>12 = 2*3*2
=>15 = 3*5
= > 20 = 2*2*5
now lcm = 2*2*2*3*5
Now for it to be a perfect square, it should have even powers
so
2*2*2*2*3*3*5*5
= 3600
:)
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