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Least Common Denominator (LCD) of 2, 4, and 13




The Least Common Denominator of 2, 4 and 13, also known as the Lowest Common Denominator of 2, 4 and 13, is useful if you need to add, subtract, or compare three fractions with the denominators of 2, 4 and 13.

The fractions with 2, 4 and 13 denominators will look like this:

   
X
 
   
2
 
   
   
Y
 
   
4
 
   
   
Z
 
   
13
 

The Least Common Denominator of 2, 4 and 13 is 52.


You need to multiply 2 by 26, 4 by 13, and 13 by 4 to make them all 52. 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 26
 
   
2 x 26
 
   
   
Y x 13
 
   
4 x 13
 
   
   
Z x 4
 
   
13 x 4
 

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

   
26X
 
   
52
 
   
   
13Y
 
   
52
 
   
   
4Z
 
   
52
 

You can substitute X, Y and Z with the numerators of your fractions with 2, 4 and 13 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 2, 4 and 14
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 2, 4 and 13 is the same as the Least Common Multiple of 2, 4 and 13.

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


 


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