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Least Common Denominator (LCD) of 19, 31, and 53




The Least Common Denominator of 19, 31 and 53, also known as the Lowest Common Denominator of 19, 31 and 53, is useful if you need to add, subtract, or compare three fractions with the denominators of 19, 31 and 53.

The fractions with 19, 31 and 53 denominators will look like this:

   
X
 
   
19
 
   
   
Y
 
   
31
 
   
   
Z
 
   
53
 

The Least Common Denominator of 19, 31 and 53 is 31217.


You need to multiply 19 by 1643, 31 by 1007, and 53 by 589 to make them all 31217. 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 1643
 
   
19 x 1643
 
   
   
Y x 1007
 
   
31 x 1007
 
   
   
Z x 589
 
   
53 x 589
 

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

   
1643X
 
   
31217
 
   
   
1007Y
 
   
31217
 
   
   
589Z
 
   
31217
 

You can substitute X, Y and Z with the numerators of your fractions with 19, 31 and 53 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 54
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 19, 31 and 53 is the same as the Least Common Multiple of 19, 31 and 53.

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


 


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