Question : Find the least number divisible by 2, 3, 5, 6, 9, and 18 which is a perfect square.
Option 1: 900
Option 2: 400
Option 3: 144
Option 4: 3600
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Correct Answer: 900
Solution :
LCM of 2, 3, 5, 6, 9, and 18 = 90
$90 = 2 \times 3 \times 3 \times 5$
As 2 and 5 are not in pairs, we need to multiply 90 by 2 × 5 to make it a perfect square.
$\therefore 90 \times 2 \times 5 = 900$
Hence, the correct answer is 900.
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