Question 328714: What is the LCD of fractions with the denominators 6, 4, and 5?
Found 2 solutions by Edwin McCravy, rapaljer:
Answer by Edwin McCravy(20060)   (Show Source):
You can put this solution on YOUR website! LCD(6, 4, 5)
Write them as products of prime numbers:
6 = 2*3
4 = 2*2
5 = 5
Line up the prime factors this way, so that
only like factors are in each column, like this:
6 = 2* *3
4 = 2*2 |
5 = | | |*5
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2*2*3*5 = 60
Bring them all to the bottom and multiply them.
Edwin
Answer by rapaljer(4671)  (Show Source):
You can put this solution on YOUR website! The easiest way I know that works for most problems is to start with the largest denominator, which is 6. Then take multiples of 6 until you get one that is divisible by both 4 and 5. Here we go: 6,12,18,24,30,36,42,48,54,60. That's it!! The LCD is 60.
There are a lot of other ways to teach this, but this way is really helpful in most of the problems you encounter.
For more on common denominators, please see the curriculum that I'm giving away FREE on my own website! To see this website, click on my tutor name "rapaljer" anywhere in algebra.com. Click on my website name that you will see there, and look on my Homepage for "Basic, Intermediate, and College Algebra: One Step at a Time." Choose "Basic Algebra" and look in "Chapter 3" for "Section 3.03 Least Common Denominators". These are my own explanations that are written especially for students who have trouble with math!
In addition, many of my exercises are solved in my "Math in Living Color" pages that accompany each of these sections.
I hope you like my curriculum . I have other topics as well. When I was teaching, my own students were unanimous that my explanations were a LOT easier to understand than the traditional textbooks. If you like it, please recommend it to your family and friends who need help with math!! Like algebra.com, it's all FREE!!
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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