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 ?
Pick one.
A) 2 B) 3 C) 4 D) 5 E) 6

Rationale: "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 ."
Answer: E