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Least Common Denominator (LCD) of 4, 13, and 49




The Least Common Denominator of 4, 13 and 49, also known as the Lowest Common Denominator of 4, 13 and 49, is useful if you need to add, subtract, or compare three fractions with the denominators of 4, 13 and 49.

The fractions with 4, 13 and 49 denominators will look like this:

   
X
 
   
4
 
   
   
Y
 
   
13
 
   
   
Z
 
   
49
 

The Least Common Denominator of 4, 13 and 49 is 2548.


You need to multiply 4 by 637, 13 by 196, and 49 by 52 to make them all 2548. 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 637
 
   
4 x 637
 
   
   
Y x 196
 
   
13 x 196
 
   
   
Z x 52
 
   
49 x 52
 

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

   
637X
 
   
2548
 
   
   
196Y
 
   
2548
 
   
   
52Z
 
   
2548
 

You can substitute X, Y and Z with the numerators of your fractions with 4, 13 and 49 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 4, 13 and 50
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 4, 13 and 49 is the same as the Least Common Multiple of 4, 13 and 49.

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


 


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