What is the smallest number which, when increased by 7, is divisible by 8, 11, and 24?	Choose the correct choice from the following choices:
A) 264
B) 257
C) 269
D) 270
E) 282

Rationale: "lcm ( 8 , 11,24 ) = 24 x 11 = 264 so the least divisible number is 264 , and the number we are looking for is 264 - 7 = 257 . the answer is b ."
Answer: B