Question Bank • QB_GA_131
NAT • 2 Marks
Section 8: General Aptitude
Quantitative Aptitude
Subtopic: Numerical Computation
Question Statement:
Find the least common multiple (LCM) of the numbers $24, 36,$ and $54$.
Step-by-Step Solution & Explanation
Prime factorizations:
$24 = 2^3 \times 3^1$
$36 = 2^2 \times 3^2$
$54 = 2^1 \times 3^3$
$\text{LCM} = 2^{\max(3,2,1)} \times 3^{\max(1,2,3)} = 2^3 \times 3^3 = 8 \times 27 = 216$
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