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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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