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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