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Least Common Denominator (LCD) of 19, 31, and 55




The Least Common Denominator of 19, 31 and 55, also known as the Lowest Common Denominator of 19, 31 and 55, is useful if you need to add, subtract, or compare three fractions with the denominators of 19, 31 and 55.

The fractions with 19, 31 and 55 denominators will look like this:

   
X
 
   
19
 
   
   
Y
 
   
31
 
   
   
Z
 
   
55
 

The Least Common Denominator of 19, 31 and 55 is 32395.


You need to multiply 19 by 1705, 31 by 1045, and 55 by 589 to make them all 32395. 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 1705
 
   
19 x 1705
 
   
   
Y x 1045
 
   
31 x 1045
 
   
   
Z x 589
 
   
55 x 589
 

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

   
1705X
 
   
32395
 
   
   
1045Y
 
   
32395
 
   
   
589Z
 
   
32395
 

You can substitute X, Y and Z with the numerators of your fractions with 19, 31 and 55 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 19, 31 and 56
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 19, 31 and 55 is the same as the Least Common Multiple of 19, 31 and 55.

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


 


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