What is the smallest number which, when increased by 5, is divisible by 7, 8, and 24? Choices:	A) 148	B) 153	C) 158	D) 163	E) 168
LCM(7,8,24)=24x7=168   So the least divisible number is 168, and the number we are looking for is   168-5= 
<gadget id="calculator">  168-5</gadget>
<output>163</output>
163.   The answer is 163.
<result>D</result>
What is the smallest number which, when increased by 5, is divisible by 7, 8, and 24?