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Least Common Denominator (LCD) of 34, 71, and 83




The Least Common Denominator of 34, 71 and 83, also known as the Lowest Common Denominator of 34, 71 and 83, is useful if you need to add, subtract, or compare three fractions with the denominators of 34, 71 and 83.

The fractions with 34, 71 and 83 denominators will look like this:

   
X
 
   
34
 
   
   
Y
 
   
71
 
   
   
Z
 
   
83
 

The Least Common Denominator of 34, 71 and 83 is 200362.


You need to multiply 34 by 5893, 71 by 2822, and 83 by 2414 to make them all 200362. 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 5893
 
   
34 x 5893
 
   
   
Y x 2822
 
   
71 x 2822
 
   
   
Z x 2414
 
   
83 x 2414
 

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

   
5893X
 
   
200362
 
   
   
2822Y
 
   
200362
 
   
   
2414Z
 
   
200362
 

You can substitute X, Y and Z with the numerators of your fractions with 34, 71 and 83 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 34, 71 and 84
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 34, 71 and 83 is the same as the Least Common Multiple of 34, 71 and 83.

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


 


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