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It is the smallest positive integer which is a multiple of the denominators of each fraction.

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Q: What is the least common denominator of a list of fraction?
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How do you find the least common denominator of a set of unlike fractions?

To find the least common denominator of a set of unlike fractions, you first need to list the prime factors of each denominator. Then, identify the highest power of each prime factor that appears in any of the denominators. Finally, multiply these highest powers together to find the least common multiple, which will be the least common denominator for the fractions.


How do you add and simplify fractions with unlike denominator?

Find a common denominator between the two fractions then work from there like you would normally.1.To do so, You can multiply the denominators. Then multiply the numerator by the last denominator. Then ONLY add or subtract the numerators.simplifying. If the #'s are both even, they can be divided by two. If they aren't, List the factors of the numerator and the denominator. Find the least common factor.(LCM).Then divide the numerator and the denominator by that #.Keep going to get a fraction simplified all the way. Hope this helped!=D


What is a explanation for the least common denominator for 3 and 12?

if you mean for 1/3 and 1/12, then to find common denominators, you just list multiples of the denominators 3 and 12. for 3 :3, 6, 9, 12... for 12:12, 24, 36... 12 is the smallest number in both lists, so it is the least common denominator.


How do you add and simplify fractions?

1.Adding If they have like denominators, just add the numerator and put that on top of the denominator. If the denominators not same, you need like denominators. So, you have to find the least common multiple of the denominator. You can list them and find the lowest multiple, or use this shortcut. It might lead to extra steps though. First you multiply the denominators. Then multiply the numerator by that number. Then add that together. (It's easy because you just add the numerator.) 2. simplifying. If the #'s are both even, they can be divided by two. If they aren't, List the factors of the numerator and the denominator. Find the least common factor.(LCM).Then divide the numerator and the denominator by that #.Keep going to get a fraction simplified all the way. Hope this helped!=D


How do you get the answer for the LCM of 10 and 12?

List the factors of 10 and 12! The only product they share is 60. So the lcm is 60. The lcm is also the least common denominator!

Related questions

How can you order fraction from least to greates?

If they all have a common denominator, then list them from lowest to highest numerator.


How do you add and simplify fractions with unlike denominator?

Find a common denominator between the two fractions then work from there like you would normally.1.To do so, You can multiply the denominators. Then multiply the numerator by the last denominator. Then ONLY add or subtract the numerators.simplifying. If the #'s are both even, they can be divided by two. If they aren't, List the factors of the numerator and the denominator. Find the least common factor.(LCM).Then divide the numerator and the denominator by that #.Keep going to get a fraction simplified all the way. Hope this helped!=D


How do you find the least common denominator of two fractions?

To find the least common denominator, list the multiples of each denominator. The lowest one they have in common is the LCD.For example:2/3 and 3/4:The multiples of 3 are: 3, 6, 9, 12, 15, 18, 24...The multiples of 4 are: 4, 8, 12, 16, 20, 24...The common multiples are 12 and 24. Since 12 is the least, it is the LCM.


How do you find the LCD of something?

Say there's 2/3 and 1/2, it's called Least Common Denominator, so you need to look at the denominators which are 3 and 2.Now list the multiples:3: 1, 3, 6...2: 1, 2, 4, 6...As you can see both of them go into 6 the least amount of times because it's the one that they both can multiply.


What is meant by the lowest common denominator?

Finding The Least Common DenominatorThe least common denominator of two or more non-zerodenominators is actually the smallest whole number that is divisible by each of the denominators. Actually, this is the same basic idea behind finding the Least Common Multiple (LCM) for whole numbers (without the fractional parts).To find the least common denominator, simply list the multiples of each denominator (multiply by 2, 3, 4, etc.) then look for the smallest number that appears in each list.Example: Suppose we wanted to add 1/5 + 1/6 + 1/15. We would find the least common denominator as follows...First we list the multiples of each denominator.Multiples of 5 are 10, 15, 20, 25, 30, 35, 40,...Multiples of 6 are 12, 18, 24, 30, 36, 42, 48,...Multiples of 15 are 30, 45, 60, 75, 90,....Now, when you look at the list of multiples, you can see that 30 is the smallest number that appears in each list.Therefore, the least common denominator of 1/5, 1/6 and 1/15 is 30.This method works pretty good. But, in adding fractions with larger numbers in the denominators can get pretty messy. Again, see the Related Link for another way to find a least common denominator.


What is a explanation for the least common denominator for 3 and 12?

if you mean for 1/3 and 1/12, then to find common denominators, you just list multiples of the denominators 3 and 12. for 3 :3, 6, 9, 12... for 12:12, 24, 36... 12 is the smallest number in both lists, so it is the least common denominator.


List all fractions equivalent to 50 100?

Multiply both the numerator (top) and the denominator (bottom) of the fraction 50/100 by any non-zero integer or divide both by any common factor. You will have an equivalent fraction. There are infinitely many of them and so it is impossible to list them all.


How do you add and simplify fractions?

1.Adding If they have like denominators, just add the numerator and put that on top of the denominator. If the denominators not same, you need like denominators. So, you have to find the least common multiple of the denominator. You can list them and find the lowest multiple, or use this shortcut. It might lead to extra steps though. First you multiply the denominators. Then multiply the numerator by that number. Then add that together. (It's easy because you just add the numerator.) 2. simplifying. If the #'s are both even, they can be divided by two. If they aren't, List the factors of the numerator and the denominator. Find the least common factor.(LCM).Then divide the numerator and the denominator by that #.Keep going to get a fraction simplified all the way. Hope this helped!=D


What four eights plus three sixth?

"It is 1"To add the two fractions you need to establish the least common denominator (LCD.) In order to do that you need to list the common multiples of the denominators. The common multiples of eight and six would look like this:0, 8, 16, 240, 6, 12, 18, 24In the list you would not have to include zero. Keep listing until you find two numbers that are the same. In the list, twenty-four is the least common multiple (LCM.) So, you would use twenty-four as your denominator. Keep in mind that you are going to create two equivalent fractions to add.4/8 = 12/243/6 = 12/24Now, add the two new equivalent fraction's numerators. Twelve plus twelve equals twenty-four. You now have the fraction 24/24, which equals ONE WHOLE.


What is the step to finding the least common denominator?

There are many ways to find the lowest common denominator (LCD). One way is to list out all the factors of both numbers and find the common one. Whichever one is the lowest is the LCD. But if you're using larger numbers you can do trial and error or multiple the denominators.


How do you get the answer for the LCM of 10 and 12?

List the factors of 10 and 12! The only product they share is 60. So the lcm is 60. The lcm is also the least common denominator!


What fraction has its simplest form as 7 over 8?

When the numerator and the denominator of a fraction have no common factor other than one, the fraction is in lowest term such as 7/8.In order to express a fraction in its lowest terms, divide the numerator and the denominator by the greatest common factor (GCF). For example:Express 16/36 in lowest terms.1) List the factors of the numerator.The factors of 16 are 1, 2, 4, 8, and 16.2) List the factors of the denominator.The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 363) Find the greatest common factor (GCF).The greatest common factor to both 16mand 36 is 4.The GCF is 4.4) Divide the numerator and the denominator of the fraction by the GCF.(16 ÷ 4)/(36 ÷ 4) = 4/95) Write the fraction in lowest terms.4/916/36 is expressed in lowest terms is 4/9.