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Least Common Denominator (LCD) of 21, 41, and 47




The Least Common Denominator of 21, 41 and 47, also known as the Lowest Common Denominator of 21, 41 and 47, is useful if you need to add, subtract, or compare three fractions with the denominators of 21, 41 and 47.

The fractions with 21, 41 and 47 denominators will look like this:

   
X
 
   
21
 
   
   
Y
 
   
41
 
   
   
Z
 
   
47
 

The Least Common Denominator of 21, 41 and 47 is 40467.


You need to multiply 21 by 1927, 41 by 987, and 47 by 861 to make them all 40467. 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 1927
 
   
21 x 1927
 
   
   
Y x 987
 
   
41 x 987
 
   
   
Z x 861
 
   
47 x 861
 

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

   
1927X
 
   
40467
 
   
   
987Y
 
   
40467
 
   
   
861Z
 
   
40467
 

You can substitute X, Y and Z with the numerators of your fractions with 21, 41 and 47 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 21, 41 and 48
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 21, 41 and 47 is the same as the Least Common Multiple of 21, 41 and 47.

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


 


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