Find the smallest square number that is divisible by each of the numbers 6, 9, and 15.
A450
B900
C1600
D3600
Explanation
LCM of 6, 9, 15: 6 = 2*3, 9 = 3^2, 15 = 3*5. LCM = 2 * 3^2 * 5 = 90. To make it a perfect square, multiply by missing prime factors (2 and 5): 90 * 2 * 5 = 900.
Exam Relevance
- Topic: Number System
- Subtopic: LCM & Perfect Squares
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