The least number that should be added to 5474, so that the sum is exactly divisible by 3, 4, 6 and 8 is:

Correct option is C

Given:

The least number that should be added to 5474, so that the sum is exactly divisible by 3, 4, 6 and 8 is:

Solution:

LCM of 3, 4, 6 and 8:

3 = 3

4 = $$2^2$$​​

6 = $$2 \times 3$$​​

8 =$$2^3$$​​

LCM =$$2^3 \times 3 = 8 \times3 = 24$$​​

5474 ÷ 24 = 228 with a remainder of 2.

This means that 5474 is 2 more than a multiple of 24.

To make it exactly divisible by 24, we need to add the difference between the divisor (24) and the remainder (2) to 5474.

Number to be added = 24 - 2 = 22

Therefore, the least number that should be added to 5474 is 22.