find the smallest square number which is divisible by 6 9 and 15
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900 is divisible by 6,9,15 and is a squares number .please mark as brain list
shrutiDP:
hi
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Here is your answer dear⬇️⬇️
To find smallest square number, we should find LCM of 6, 9, 15
6 = 2 × 3
9 = 3 × 3
15 = 3 × 5
Common factors = 3
Therefore, LCM = 3 × 3 × 2 × 5
LCM = 90
But, 2 and 5 are not in pair.
Therefore, to make it perfect square no.
multiply 2 × 5 to LCM (90)
= 90 × 2 × 5
= 90 × 10
= 900
Therefore, 900 is the perfect square.
= 30
To find smallest square number, we should find LCM of 6, 9, 15
6 = 2 × 3
9 = 3 × 3
15 = 3 × 5
Common factors = 3
Therefore, LCM = 3 × 3 × 2 × 5
LCM = 90
But, 2 and 5 are not in pair.
Therefore, to make it perfect square no.
multiply 2 × 5 to LCM (90)
= 90 × 2 × 5
= 90 × 10
= 900
Therefore, 900 is the perfect square.
= 30
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