Question

what is the least number that is divisible by all the number from 1 to 10​

Answer 1

Answer:

Step-by-step explanation:

The least number divisible by all the numbers from 1 to 10 will be the LCM of these numbers.

We have,

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

Answer 2

The least number divisible by all the numbers from 1 to 10 will be the LCM of these numbers.

We have,1 = 12 = 2 × 13 = 3 × 14 = 2 × 25 = 5 × 16 = 2 × 37 = 7 × 18 = 2 × 2 × 29 = 3 × 310 = 2 × 5So, LCM of these numbers = 1 × 2 × 2 × 2 × 3 × 3 × 5 × 7 = 2520Hence, least number divisible by all the numbers from 1 to 10 is 2520