Find Least Common Multiple of 1 and 68 by listing out the factors.
Answer
LCM( 1, 68 ) = 68
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 1 are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, . . .
The multipliers of 68 are: 68, 136, . . .
We can see that:
LCM( 1, 68 ) = 68
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
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