Question

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

पर्याय

• 10

• 100

• 504

• 2520

Answer 1

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 × 2

3 = 1 × 3

4 = 1 × 2 × 2

5 = 1 × 5

6 = 1 × 2 × 3

7 = 1 × 7

8 = 1 × 2 × 2 × 2

9 = 1 × 3 × 3

10 = 1 × 2 × 5

∴ LCM of numbers from 1 to 10

= LCM(1, 2, 3, 4, 5, 6, 7, 8, 9,10)

= 1 × 2 × 2 × 2 × 3 × 3 × 5 × 7

= 2520