If a = 23×3, b = 2×3×5, c = 3n×5 and LCM (a, b, c) = 23×32×5, then n = ?
(Here, n is a natural number)
A
1
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B
2
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C
3
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D
4
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Solution
The correct option is B 2 Given: a = 23×3
b = 2×3×5
c = 3n×5
LCM (a, b, c) = 23×32×5 ... (1)
Since, to find LCM we need to take the prime factors with their highest degree:
LCM will be 23×3n×5 ... (2) (n≥1)
On comparing we get,
n = 2