The factor that appears first in both set is the least common denominator. We see that appears first in both sets and thus, is the least common denominator. What's the least common denominator among , , and?
In the case of finding least common denominators among three or more numbers, it's critical there are no common factors between two of the denominators and of course all 3.
This will ensure the answer will always be the least common denominator. Say we just multiplied the numbers out. It's basically or.
That number seems big but lets cut this in half and check divides evenly into , , and. Lets check. So this goes back to the statement: "In the case of finding least common denominators among three or more numbers, it's critical there are no common factors between two of the denominators and of course all 3.
That is ok. Now the leftover values are , , and. They only share a factor of. So let's multiply the leftover values and the factored value to get. If you've found an issue with this question, please let us know. With the help of the community we can continue to improve our educational resources. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.
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Louis, MO Subject optional. Email address: Your name:. Example Question 1 : Least Common Denominator. Possible Answers:. Correct answer:. Explanation : The correct answer is Multiples of 6: 6, 12, 18, 24, 30, 36 , 42, 48 Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36 , 39, 42 Multiples of 12, 24, 36 , 48, 60 Multiples of 36 , 72, Multiples of 18, 36 , 54, 72 From the above multiples, we can see that the least common denominator is Simply multiply the two fractions together numerator times numerator, and denominator times denominator , reduce the fraction if possible, then put a 3 in front of the final fraction.
The answer will be a mixed number. Not Helpful 3 Helpful 7. Not Helpful 5 Helpful 4. Not Helpful 4 Helpful 4. Multiply the smaller denominator 6 by various small integers 2, 3, 4, etc. Not Helpful 6 Helpful 5. For ease, start the process with the two smallest denominators, here 16 and Thus, is evenly divisible by 16 and by Because it divides evenly in other words, with a quotient that is a whole number , is the smallest number evenly divisible by each of the denominators and is thus defined as the lowest least common denominator in this case.
Not Helpful 9 Helpful 3. Include your email address to get a message when this question is answered. Related wikiHows How to.
How to. Assistant Professor of Mathematics. Expert Interview. About This Article. Co-authored by:. Co-authors: Updated: January 28, Categories: Fractions. Article Summary X One way to find the least common denominator LCD of two or more fractions is by listing the factors of each denominator, which are all of the whole numbers that divide evenly into that number. Deutsch: Den kleinsten gemeinsamen Nenner ermitteln.
Nederlands: Het kleinste gemene veelvoud van twee noemers vinden. Thanks to all authors for creating a page that has been read , times. I needed to learn that information for my university homework.
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If you have problems with any parts of this exercise, re-read the section above that covers it. Since our denominators are 9, 8, 12, and 18, we need to find the least common denominator. So we factor each number into primes. When we do our largest count of the prime numbers, we find three 2s , and two 3s do you see them?
Now we have our least common denominator of Next… we convert each fraction to an equivalent fraction using 72 as our new denominator.
Mission accomplished… all of our denominators are the same , so we can just add up the numerators. Need help? How to videos Why join? What is the lowest common denominator? We explain what the lowest common denominator is and how to find it and use it to compare different fractions, as well as giving examples of how the concept might be taught to your primary-school child. Login or Register to add to your saved resources. The lowest common denominator is the smallest number that is exactly divisible by each denominator of a set of fractions.
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