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Finding The Least Common Denominator
The 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.
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What is the lowest common denominator of 10 and 6?
The lowest common denominator is 30
What is the common denominator of 2 and 10?
The lowest common denominator is 10
What is the expression in lowest terms?
An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.
What is the lowest common denominator for 8 and 17?
The lowest common denominator of any set of whole numbers is 1
What is the lowest common denominator for 4 out of 25 and 3 out of 50?
The lowest common denominator of 4/25 and 3/50 is 50.
What is the lowest common denominator of 10 and 6?
The lowest common denominator is 30
What is the lowest common denominator of 6 and 6?
The lowest common denominator is 6
What is the lowest common denominator of 18 and 28?
The lowest common multiple, or lowest common denominator, of 18 and 28 is 252.
What is the lowest common denominator of 15 and 57?
What is the lowest common denominator of 15 over 57?
What is the lowest common denominator of 34 and 36?
lowest common denominator of 34 and 36 is 612
What is the lowest denominator of 1out of 2 and 4out of 9?
The lowest denominator is 2. The lowest common denominator is 18.
What is the lowest common denominator of 27 and 45?
135 is the lowest common denominator of numbers 27 and 45.
What is lowest common denominator of 30 and 42?
The lowest common denominator of 30 and 42 is 210.
What is the lowest common denominator for three quarters and two thirds?
The lowest common denominator would be twelve!
What is the lowest common denominator of 50 and 35?
Lowest common denominator of 50 and 35 is 350.
What is a lowest common denominator for 15 21 27?
945 is the lowest common denominator. 3 is the greatest common factor.
What is the lowest common denominator for 18 and 23?
The lowest common denominator of any set of whole numbers is 1
