5. Find the smallest square number which is divisible by each of the number 9, 10, 12, and 15.
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Step-by-step explanation:
Hey there!
Since, we wanted the smallest perfect square number divisible by 6, 9 and 15.
So, we calculated LCM by prime factorisation.
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
Hence,
Required smallest square no. that's divisible by 6, 9 and 15 = 900
SOLUTION IN THE BELOW PIC. IS ALSO FOR REFERENCE
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