Question

The least number that is divisible by all the numbers from 1 to 12 (both inclusive)

Answer 1

Answer:

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

Answer 2

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