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Least Common Denominator (LCD) of 32, 49, and 54




The Least Common Denominator of 32, 49 and 54, also known as the Lowest Common Denominator of 32, 49 and 54, is useful if you need to add, subtract, or compare three fractions with the denominators of 32, 49 and 54.

The fractions with 32, 49 and 54 denominators will look like this:

   
X
 
   
32
 
   
   
Y
 
   
49
 
   
   
Z
 
   
54
 

The Least Common Denominator of 32, 49 and 54 is 42336.


You need to multiply 32 by 1323, 49 by 864, and 54 by 784 to make them all 42336. 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 1323
 
   
32 x 1323
 
   
   
Y x 864
 
   
49 x 864
 
   
   
Z x 784
 
   
54 x 784
 

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

   
1323X
 
   
42336
 
   
   
864Y
 
   
42336
 
   
   
784Z
 
   
42336
 

You can substitute X, Y and Z with the numerators of your fractions with 32, 49 and 54 denominators. This way you can add, subtract and compare your fractions correctly.
      
      


Least Common Denominator Calculator
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Least Common Denominator (LCD) of 32, 49 and 55
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 32, 49 and 54 is the same as the Least Common Multiple of 32, 49 and 54.

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


 


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