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Least Common Denominator (LCD) of 21, 32, and 38




The Least Common Denominator of 21, 32 and 38, also known as the Lowest Common Denominator of 21, 32 and 38, is useful if you need to add, subtract, or compare three fractions with the denominators of 21, 32 and 38.

The fractions with 21, 32 and 38 denominators will look like this:

   
X
 
   
21
 
   
   
Y
 
   
32
 
   
   
Z
 
   
38
 

The Least Common Denominator of 21, 32 and 38 is 12768.


You need to multiply 21 by 608, 32 by 399, and 38 by 336 to make them all 12768. 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 608
 
   
21 x 608
 
   
   
Y x 399
 
   
32 x 399
 
   
   
Z x 336
 
   
38 x 336
 

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

   
608X
 
   
12768
 
   
   
399Y
 
   
12768
 
   
   
336Z
 
   
12768
 

You can substitute X, Y and Z with the numerators of your fractions with 21, 32 and 38 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, 32 and 39
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 21, 32 and 38 is the same as the Least Common Multiple of 21, 32 and 38.

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


 


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