What is the smallest number which, when increased by 9, is divisible by 8, 11, and 24? Choose the correct choice
A) 237 B) 246 C) 255 D) 264 E) 273

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 - 9 = 255 . the answer is c .
Answer: C