SOLUTION: 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

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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