RRB NTPC 2022 · Question 86 of 110

What is the smallest cubic number, which is divisible by 72, 108, and 300?

A3375
B27000Correct
C5400
D21600

Answer: B. 27000

Explanation

72=2×2×2×3×3 108=2×2×3×3×3 300=2×2×3×5×5 LCM =2×2×2×3×3×3×5×5 To make such a perfect cube, only 5 times are required. So now - 2×2×2×3×3×3×5×5×5=27000.

Source: RRB NTPC 2022 CBT 2 Previous Year Paper (12-June-2022) — ixambee compilation with answer key · reliable-secondary

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