What is the least number that is divisible by all the natural numbers from 1 to 10 both inclusive )? A 100 B 1260?

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

Question:

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

(a) 100

Solution:

(c) 2520

We have to find the least number that is divisible by all numbers from 1 to 10.

$\therefore$ LCM $(1$ to 10$)=2^{3} \times 3^{2} \times 5 \times 7=2520$

Thus, 2520 is the least number that is divisible by every element and is equal to the least common multiple.