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

Question 654681: find the least common multiple of 48, 60, 75
Answer by jim_thompson5910(35256) (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

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