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Least Common Denominator (LCD) of 21, 31, and 35




The Least Common Denominator of 21, 31 and 35, also known as the Lowest Common Denominator of 21, 31 and 35, is useful if you need to add, subtract, or compare three fractions with the denominators of 21, 31 and 35.

The fractions with 21, 31 and 35 denominators will look like this:

   
X
 
   
21
 
   
   
Y
 
   
31
 
   
   
Z
 
   
35
 

The Least Common Denominator of 21, 31 and 35 is 3255.


You need to multiply 21 by 155, 31 by 105, and 35 by 93 to make them all 3255. 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 155
 
   
21 x 155
 
   
   
Y x 105
 
   
31 x 105
 
   
   
Z x 93
 
   
35 x 93
 

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

   
155X
 
   
3255
 
   
   
105Y
 
   
3255
 
   
   
93Z
 
   
3255
 

You can substitute X, Y and Z with the numerators of your fractions with 21, 31 and 35 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, 31 and 36
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 21, 31 and 35 is the same as the Least Common Multiple of 21, 31 and 35.

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


 


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