The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
a. 10
b. 100
c. 504
d. 2520

Solution:

Given,

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

Therefore, the least number is 2520.

✦ Try This: The least number that is divisible by 1 to 5 (both inclusive) is

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 1

NCERT Exemplar Class 10 Maths Exercise 1.1 Problem 9

The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is a. 10, b. 100, c. 504, d. 2520

Summary:

The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is 2520

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