What is the least number that is divisible by all the natural numbers from 1 to 10 (both inclusive)?

Question

KollegeApply · Accepted Answer

2520 Explanation: Required number = LCM{1, 2, 3, 4, 5, 6, 7, 8, 9, 10} = LCM{1, 2, 3, 22, 5, 2 $\times$ 3, 7, 23, 32, 2 $\times$ 5} = (1 $\times$ 23 $\times$ 32 $\times$ 5 $\times$ 7) = (8 $\times$ 9 $\times$ 5 $\times$ 7) = 2520

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