Question 115654: I need help with these math problems on least common multiple.
20. 16,18
23. 4,17
26. 15,18
27. 12,14
28. 7,13
32. 3,5,12
33. 6,16,24
34. 12,18,24
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! I'll do a few of these to show you how to do these problems.
#20
First, list the prime factorization of each number. If you need help with prime factorization, check out this solver.
16: 2*2*2*2
18: 2*3*3
Now highlight the unique factors. Remember, highlight the factors that occur most frequently
16: 2*2*2*2
18: 2*3*3
Now multiply all of the highlighted factors
2*2*2*2*3*3=144
So the LCM of 16 and 18 is 144
#23
First, list the prime factorization of each number. If you need help with prime factorization, check out this solver.
4: 2*2
17: 17
Now highlight the unique factors. Remember, highlight the factors that occur most frequently
4: 2*2
17: 17
Now multiply all of the highlighted factors
2*2*17=68
So the LCM of 4 and 17 is 68
#26
First, list the prime factorization of each number. If you need help with prime factorization, check out this solver.
15: 3*5
18: 2*3*3
Now highlight the unique factors. Remember, highlight the factors that occur most frequently
15: 3*5
18: 2*3*3
Now multiply all of the highlighted factors
2*3*3*5=90
So the LCM of 15 and 18 is 90
note: I skipped to a problem with 3 numbers
#33
First, list the prime factorization of each number. If you need help with prime factorization, check out this solver.
6: 2*3
16: 2*2*2*2
24: 2*2*2*3
Now highlight the unique factors. Remember, highlight the factors that occur most frequently
6: 2*3
16: 2*2*2*2
24: 2*2*2*3
Now multiply all of the highlighted factors
2*2*2*2*3=48
So the LCM of 6, 16, and 24 is 48
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