Question

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

Answer 1

It is 2520. To find the smallest number that is divisible by all numbers from 1 to 10, you just need to find LCM of the numbers 1,2,3,…10 which comes out to be 2520. Being divisble means the quotient should be terminating .

Answer 2

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The least number divisible by all the number from 1 to 10 will be the L.C.M of following number,

1=1

2=2×1

3=3×1

4=2×2

5=5×1

6=2×3

7=7×1

8=2×2×2

9=3×3

10=2×5

So, the L.C.M. of these number is 1×2×2×2×3×3×5×7=2520

Hence, the least number divisible by all the numbers from 1 to 10 is 2520