Question

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

(a) 100

(b) 1000

(c) 2520

(d) 5040

Answer 1

Correct answer is: (c) 2520

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, LCM of these numbers = 1 × 2 × 2 × 2 × 3 × 3 × 5 × 7 = 2520

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