Question
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Question Palette
What is the smallest square number that is completely divisible by 14, 16, and 18?
Correct Option:
B
Explanation
1. Prime factors: 14 = 2 × 7, 16 = 2⁴, and 18 = 2 × 3².
2. LCM(14, 16, 18) = 2⁴ × 3² × 7 = 1008.
3. To make 1008 a perfect square, multiply it by 7: 1008 × 7 = 7056 = 84².