Question

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

A. 10  B. 100 C. 504 D. 2520

Answer 1

D. 2520

Factors of 1 to 10 numbers

1 = 1

2 = 1 × 2

3 = 1 × 3

4 = 1 × 2 × 2

5 = 1 × 5

6 = 1 × 2 × 3

7 = 1 × 7

8 = 2 × 2 × 2

9 = 1 × 3 × 3

⇒ LCM of number 1 to 10 = LCM (1, 2, 3, 4, 5, 6, 7, 8, 9, 10)

= 1 × 2 × 2 × 2 × 3 × 3 × 5 × 7 = 2520