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Least Common Denominator (LCD) of 19, 31, and 54




The Least Common Denominator of 19, 31 and 54, also known as the Lowest Common Denominator of 19, 31 and 54, is useful if you need to add, subtract, or compare three fractions with the denominators of 19, 31 and 54.

The fractions with 19, 31 and 54 denominators will look like this:

   
X
 
   
19
 
   
   
Y
 
   
31
 
   
   
Z
 
   
54
 

The Least Common Denominator of 19, 31 and 54 is 31806.


You need to multiply 19 by 1674, 31 by 1026, and 54 by 589 to make them all 31806. 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 1674
 
   
19 x 1674
 
   
   
Y x 1026
 
   
31 x 1026
 
   
   
Z x 589
 
   
54 x 589
 

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

   
1674X
 
   
31806
 
   
   
1026Y
 
   
31806
 
   
   
589Z
 
   
31806
 

You can substitute X, Y and Z with the numerators of your fractions with 19, 31 and 54 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 55
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 19, 31 and 54 is the same as the Least Common Multiple of 19, 31 and 54.

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


 


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