What is the smallest number which, when increased by 7, is divisible by 8, 11, and 24?  Select the correct option:
A) 264
B) 257
C) 269
D) 270
E) 282
LCM(8,11,24)=24x11=264   So the least divisible number is 264, and the number we are looking for is   264-7= 
<gadget id="calculator">  264-7</gadget>
<output>257</output>
257.   The answer is 257.
<result>B</result>
What is the smallest number which, when increased by 7, is divisible by 8, 11, and 24?