SOLUTION: find the least common multiple of 48, 60, 75

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Question 654681: find the least common multiple of 48, 60, 75
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

First, list the prime factorization of each number. If you need help with prime factorization, check out this solver.


48: 2*2*2*2*3


60: 2*2*3*5


75: 3*5*5


Now highlight the unique factors. Remember, highlight the factors that occur most frequently


48: 2*2*2*2*3


60: 2*2*3*5


75: 3*5*5


Now multiply all of the highlighted factors

2*2*2*2*3*5*5=1200

So the LCM of 48, 60, and 75 is 1200