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Least Common Denominator (LCD) of 21, 40, and 89




The Least Common Denominator of 21, 40 and 89, also known as the Lowest Common Denominator of 21, 40 and 89, is useful if you need to add, subtract, or compare three fractions with the denominators of 21, 40 and 89.

The fractions with 21, 40 and 89 denominators will look like this:

   
X
 
   
21
 
   
   
Y
 
   
40
 
   
   
Z
 
   
89
 

The Least Common Denominator of 21, 40 and 89 is 74760.


You need to multiply 21 by 3560, 40 by 1869, and 89 by 840 to make them all 74760. 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 3560
 
   
21 x 3560
 
   
   
Y x 1869
 
   
40 x 1869
 
   
   
Z x 840
 
   
89 x 840
 

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

   
3560X
 
   
74760
 
   
   
1869Y
 
   
74760
 
   
   
840Z
 
   
74760
 

You can substitute X, Y and Z with the numerators of your fractions with 21, 40 and 89 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, 40 and 90
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 21, 40 and 89 is the same as the Least Common Multiple of 21, 40 and 89.

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


 


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