The number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 27 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?
Choose the correct choice from the following answers
A) 27
B) 33
C) 54
D) 81
E) 162
Explanations   1) This tells us that the number of boxes is evenly divisible by both 6 and 27; in other words, it’s a common multiple of 6 and 27. The question says: what’s the smallest value it could have? In other words, what’s the LCM of 6 and 27? (This question is one example of a real-world set-up where the question is actually asking for the LCM.)   Step (a): 6 = 2*3 27 = 3*3*3   Step (b): 6 = 2*3 27 = 3*3*3 GCF = 3   Step (c): 6 = 3*2 27 = 3*9   Step (d) LCM = 3*2*9= 
<gadget id="calculator">3*2*9</gadget>
<output>54</output>
54   Thus, 54 is the LCM of 6 and 27.   Answer: 54.
<result>C</result>
The number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 27 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?