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What least number must be added to 1056 so that the sum is completely divisible by 2, 3 and 5?
Question

What least number must be added to 1056 so that the sum is completely divisible by 2, 3 and 5?

A.

24

B.

18

C.

48

D.

56

Correct option is A

Given: Added to 1056 so that the sum is completely divisible by 2, 3 and 5.
The least common multiple (LCM) of 2, 3, and 5 is:
LCM(2, 3, 5) = 30
The next multiple of 30 after 1056
We divide 1056 by 30:
1056 ÷ 30 = 35.2
The next whole number after 35.2 is 36
Now multiply 36 × 30 = 1080
We need to add to 1056 to reach 1080
1080 − 1056 = 24
Thus, correct option is (a).

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