The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is ______.

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KollegeApply · Accepted Answer

The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is 2520. Explanation: Factors of numbers from 1 to 10 1 = 1 2 = 1 $\times$ 2 3 = 1 $\times$ 3 4 = 1 $\times$ 2 $\times$ 2 5 = 1 $\times$ 5 6 = 1 $\times$ 2 $\times$ 3 7 = 1 $\times$ 7 8 = 1 $\times$ 2 $\times$ 2 $\times$ 2 9 = 1 $\times$ 3 $\times$ 3 10 = 1 $\times$ 2 $\times$ 5 $\therefore$ LCM of numbers from 1 to 10 = LCM(1, 2, 3, 4, 5, 6, 7, 8, 9,10) = 1 $\times$ 2 $\times$ 2 $\times$ 2 $\times$ 3 $\times$ 3 $\times$ 5 $\times$ 7 = 2520

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