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To find the LCM of three numbers you first have to break them down into their prime factors. In this case:
27 = 3x3x3
18 = 2x3x3
10 = 2x5
The next step is to identify any duplicates and cross them out. In this case two numbers share two 3s as prime factors, and two numbers share a 2 as prime factor. That leaves us with 3, 3, 3, 2 and 5 as the prime factors to work with. Multiplying these together gives 270, and so the LCM of 27, 18 and 10 is 270.
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