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LCM and Divisibility

1 UPSC Prelims MCQs tagged "LCM and Divisibility". Free practice with answer keys, explanations, and timed mock tests on Anantam IAS.

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The largest number of three digits which is divisible by 3, 5, 7 and…
The largest number of three digits which is divisible by 3, 5, 7 and 9 is
1. A549
2. B688
3. C826
4. D945
Answer and explanation
Correct answer: D
The LCM of 3, 5, 7 and 9 is 315 (since 9 already covers 3). The largest three-digit multiple of 315 is 315 x 3 = 945, because 315 x 4 = 1260 exceeds three digits.
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