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प्रश्न
What is the least number that is divisible by all the natural numbers from 1 to 10 (both inclusive)?
पर्याय
100
1260
2520
5040
MCQ
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उत्तर
2520
Explanation:
Required number = LCM{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
= LCM{1, 2, 3, 22, 5, 2 × 3, 7, 23, 32, 2 × 5}
= (1 × 23 × 32 × 5 × 7)
= (8 × 9 × 5 × 7)
= 2520
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