What least number should be subtracted from 2590 so that the remainder when divided by 9, 11, and 13 will leave in each case the same remainder 6 ? Choices:
A) 2 B) 3 C) 6 D) 10 E) 11
The LCM of 9, 11, and 13 is 1,287. The next multiple is 2*1,287 = 2,574.   2,574 + {remainder} = 2,574 + 6 = 2,580, which is 10 less than 2,590.   Answer: 10.
<result>D</result>
What least number should be subtracted from 2590 so that the remainder when divided by 9, 11, and 13 will leave in each case the same remainder 6 ?