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Least Common Denominator (LCD) of 10, 11, and 19




The Least Common Denominator of 10, 11 and 19, also known as the Lowest Common Denominator of 10, 11 and 19, is useful if you need to add, subtract, or compare three fractions with the denominators of 10, 11 and 19.

The fractions with 10, 11 and 19 denominators will look like this:

   
X
 
   
10
 
   
   
Y
 
   
11
 
   
   
Z
 
   
19
 

The Least Common Denominator of 10, 11 and 19 is 2090.


You need to multiply 10 by 209, 11 by 190, and 19 by 110 to make them all 2090. 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 209
 
   
10 x 209
 
   
   
Y x 190
 
   
11 x 190
 
   
   
Z x 110
 
   
19 x 110
 

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

   
209X
 
   
2090
 
   
   
190Y
 
   
2090
 
   
   
110Z
 
   
2090
 

You can substitute X, Y and Z with the numerators of your fractions with 10, 11 and 19 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 10, 11 and 20
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 10, 11 and 19 is the same as the Least Common Multiple of 10, 11 and 19.

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


 


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