Question
Find Least Common Multiple of 112 and 144 by listing out the factors.
Answer
LCM( 112, 144 ) = 1008
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 112 are: 112, 224, 336, 448, 560, 672, 784, 896, 1008, 1120, . . .
The multipliers of 144 are: 144, 288, 432, 576, 720, 864, 1008, 1152, . . .
We can see that:
LCM( 112, 144 ) = 1008
This solution can be visualized using a Venn diagram.
0,0
112
144
2
2
2
2
7
3
3
The LCM is equal to the product of all the numbers on the diagram.
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