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Least Common Denominator (LCD) of 21, 40, and 64




The Least Common Denominator of 21, 40 and 64, also known as the Lowest Common Denominator of 21, 40 and 64, is useful if you need to add, subtract, or compare three fractions with the denominators of 21, 40 and 64.

The fractions with 21, 40 and 64 denominators will look like this:

   
X
 
   
21
 
   
   
Y
 
   
40
 
   
   
Z
 
   
64
 

The Least Common Denominator of 21, 40 and 64 is 6720.


You need to multiply 21 by 320, 40 by 168, and 64 by 105 to make them all 6720. Furthermore, you need to multiply the numerators by the same amounts to keep the fraction values the same.

Therefore, you have to make the following calculations so the fractions keep the same value and get the same denominator:

   
X x 320
 
   
21 x 320
 
   
   
Y x 168
 
   
40 x 168
 
   
   
Z x 105
 
   
64 x 105
 

Which gives you the following three new fractions that you can add, subtract and compare:

   
320X
 
   
6720
 
   
   
168Y
 
   
6720
 
   
   
105Z
 
   
6720
 

You can substitute X, Y and Z with the numerators of your fractions with 21, 40 and 64 denominators. This way you can add, subtract and compare your fractions correctly.
      
      


Least Common Denominator Calculator
Please enter another two or three denominators below so we can calculate the Least Common Denominator (LCD) for you:

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Least Common Denominator (LCD) of 21, 40 and 65
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 21, 40 and 64 is the same as the Least Common Multiple of 21, 40 and 64.

To calculate what to multiply each denominator and corresponding numerator by, we divided the LCD by each of the denominators.


 


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