Solved UPSC CDS/OTA Question
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Q · LCM and HCFModerate · 45s
Find the smallest 4-digit number divisible by 6, 8, and 9.
TopicLCM and HCF
Question Typemultiple choice
DifficultyModerate
Marking+1 / −0.33
Test Duration30 min
Step-by-Step Solution
The complete worked solution.
Every step explained — no skipped algebra.
LCM = 72; Smallest 4-digit multiple = 72 × 14 = 1008.
Final Answer: Option A — 1008