Question
Download Solution PDFAn officer of the army wants to arrange his soldiers to stand in rows of 12, 15, 16 and 18. If he wants to arrange them in a solid square also, then find the minimum number of soldiers.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF
Formula used:
LCM (Least Common Multiple) of the numbers should be a perfect square.
Calculation:
LCM of 12, 15, 16, and 18
Prime factorization:
12 = 22 × 3
15 = 3 × 5
16 = 24
18 = 2 × 32
LCM = 24 × 32 × 5
LCM = 16 × 9 × 5
LCM = 720
To make 720 a perfect square, we need to multiply it by 5:
720 × 5 = 3600
∴ The correct answer is 3600
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