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There is not a Highest Common Multiple of a pair of numbers because the multiples can go on and on "forever."

When working with fractions, the number needed is the Least Common Multiple. One way to find the LCM is to list the multiples of the denominators until you find one that is common to both numbers. For example, 3 and 7:

3: 3, 6, 9, 12, 15, 21, 24...

7: 7, 14, 21...

21 is the LCM of 3 and 7.

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Q: How do you find the HCM of a pair of numbers?
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