Question
Download Solution PDFFind the least number divisible by 2, 3, 5, 6, 9 and 18, which is a perfect square.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used
To find the least perfect square number which is divisible by 2, 3, 5, 6, 9 and 18
first, find the LCM of the given numbers
Calculation
LCM (2, 3, 5, 6, 9 and 18) = 90
90 = 2 x 3 x 3 x 5.
As 2 and 5 are not in pair in LCM’s factor so we need to multiply 90 by 5 and 2 to make it a perfect square.
90 x 2 x 5 = 900.
∴ 900 is the least perfect square divisible by 2, 3, 5, 6, 9 and 18
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