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Q: The least common multiple of three numbers is 154 and the sum of the numbers is 20 what are the numbers?

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These do exist.

You need at least two numbers to find an LCM.

10

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Calculate the least common multiple of the three numbers. Any multiple of that has all those numbers as factors.

It means write down three pairs of numbers that are relatively prime like 4 and 9, 5 and 6, 13 and 25

7, 14 and 28

1050 is the LCM of those three numbers.

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The LCM of the given three numbers is: 1596