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120

Make a list of the multiples of each number until you find a number which is on all three lists. Or, it is usually easier to find the LCM of 2 of the numbers, then find the LCM of that answer and the 3rd number.

10, 20, 30, 40, 50, 60, ...

12, 24, 36, 48, 60, ...

The LCM of 10 and 12 is 60. Now find the LCM of 60 and 8:

60, 120, ...

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, ... (whew!)

The LCM of 10, 12 and 8 is 120.

There is also a method using the prime factorization of each number. It would be faster for this question, but it's harder to understand and remember.

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12y ago
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9y ago

The least common multiple of the numbers 10, 8 and 12 is 120.

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9y ago

The LCM is 120.

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11y ago

LCM of 10, 8, 12 is 120.

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6y ago

120

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Q: What is the LCM of 10 and 8 and 12?
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