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Least Common Denominator (LCD) of 33, 40, and 58




The Least Common Denominator of 33, 40 and 58, also known as the Lowest Common Denominator of 33, 40 and 58, is useful if you need to add, subtract, or compare three fractions with the denominators of 33, 40 and 58.

The fractions with 33, 40 and 58 denominators will look like this:

   
X
 
   
33
 
   
   
Y
 
   
40
 
   
   
Z
 
   
58
 

The Least Common Denominator of 33, 40 and 58 is 38280.


You need to multiply 33 by 1160, 40 by 957, and 58 by 660 to make them all 38280. 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 1160
 
   
33 x 1160
 
   
   
Y x 957
 
   
40 x 957
 
   
   
Z x 660
 
   
58 x 660
 

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

   
1160X
 
   
38280
 
   
   
957Y
 
   
38280
 
   
   
660Z
 
   
38280
 

You can substitute X, Y and Z with the numerators of your fractions with 33, 40 and 58 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 33, 40 and 59
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 33, 40 and 58 is the same as the Least Common Multiple of 33, 40 and 58.

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


 


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