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Least Common Denominator (LCD) of 3, 9, and 23




The Least Common Denominator of 3, 9 and 23, also known as the Lowest Common Denominator of 3, 9 and 23, is useful if you need to add, subtract, or compare three fractions with the denominators of 3, 9 and 23.

The fractions with 3, 9 and 23 denominators will look like this:

   
X
 
   
3
 
   
   
Y
 
   
9
 
   
   
Z
 
   
23
 

The Least Common Denominator of 3, 9 and 23 is 207.


You need to multiply 3 by 69, 9 by 23, and 23 by 9 to make them all 207. 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 69
 
   
3 x 69
 
   
   
Y x 23
 
   
9 x 23
 
   
   
Z x 9
 
   
23 x 9
 

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

   
69X
 
   
207
 
   
   
23Y
 
   
207
 
   
   
9Z
 
   
207
 

You can substitute X, Y and Z with the numerators of your fractions with 3, 9 and 23 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 3, 9 and 24
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 3, 9 and 23 is the same as the Least Common Multiple of 3, 9 and 23.

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


 


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