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Least Common Denominator (LCD) of 19, 31, and 69




The Least Common Denominator of 19, 31 and 69, also known as the Lowest Common Denominator of 19, 31 and 69, is useful if you need to add, subtract, or compare three fractions with the denominators of 19, 31 and 69.

The fractions with 19, 31 and 69 denominators will look like this:

   
X
 
   
19
 
   
   
Y
 
   
31
 
   
   
Z
 
   
69
 

The Least Common Denominator of 19, 31 and 69 is 40641.


You need to multiply 19 by 2139, 31 by 1311, and 69 by 589 to make them all 40641. 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 2139
 
   
19 x 2139
 
   
   
Y x 1311
 
   
31 x 1311
 
   
   
Z x 589
 
   
69 x 589
 

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

   
2139X
 
   
40641
 
   
   
1311Y
 
   
40641
 
   
   
589Z
 
   
40641
 

You can substitute X, Y and Z with the numerators of your fractions with 19, 31 and 69 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 70
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 19, 31 and 69 is the same as the Least Common Multiple of 19, 31 and 69.

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


 


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