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Least Common Denominator (LCD) of 32, 45, and 78




The Least Common Denominator of 32, 45 and 78, also known as the Lowest Common Denominator of 32, 45 and 78, is useful if you need to add, subtract, or compare three fractions with the denominators of 32, 45 and 78.

The fractions with 32, 45 and 78 denominators will look like this:

   
X
 
   
32
 
   
   
Y
 
   
45
 
   
   
Z
 
   
78
 

The Least Common Denominator of 32, 45 and 78 is 18720.


You need to multiply 32 by 585, 45 by 416, and 78 by 240 to make them all 18720. 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 585
 
   
32 x 585
 
   
   
Y x 416
 
   
45 x 416
 
   
   
Z x 240
 
   
78 x 240
 

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

   
585X
 
   
18720
 
   
   
416Y
 
   
18720
 
   
   
240Z
 
   
18720
 

You can substitute X, Y and Z with the numerators of your fractions with 32, 45 and 78 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 32, 45 and 79
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 32, 45 and 78 is the same as the Least Common Multiple of 32, 45 and 78.

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


 


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