Question

Q2. The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

Answer 1

least number = 2^3*3^2*7*5= 8*9*7*5 = 2520 (ans)

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