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The LCM of 12, 15, and 45 is 180.
The 15 can be ignored since it is already a factor of 45, next you break down the remaining numbers into their prime factors.
12= 2x2x3 45=3x3x5
You can eliminate 1 of the 3's since it is already a common actor between them
So then 2x2x3x3x5=180
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