What least number should be subtracted from 1,439 so that the remainder when divided by 5, 11, and ...

What least number should be subtracted from 1,439 so that the remainder when divided by 5, 11, and 13 will leave in each case the same remainder 3 ?

Quiz

Answer/Solution

6

Steps/Work

The LCM of 5, 11, and 13 is 715. The next multiple is 2*715 = 1,430.
1,430 + {remainder} = 1,430 +3 = 1,433, which is 6 less than 1,439.
Answer: E.