Question

Find the greatest number of 4 digits, which when divided by 24, 32, 40, 48
leaves 3 as remainder.
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Answer 1

Answer:

First let us factorize the numbers in question:

24 = 2x2x2x3

32 = 2x2x2x2x2

40 = 2x2x2x5

48 = 2x2x2x2x3

The LCM is 2x2x2x2x2x3x5 = 480.

Add 3 to 480 to get 483 which is the answer.

Check: 483/24 = 20 as quotient and 3 as remainder. Correct.

483/32 = 15 as quotient and 3 as remainder. Correct.

483/40 = 12 as quotient and 3 as remainder. Correct.

483/48 = 10 as quotient and 3 as remainder. Correct.

Answer is 483.

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