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Least Common Denominator (LCD) of 7, 10, and 27




The Least Common Denominator of 7, 10 and 27, also known as the Lowest Common Denominator of 7, 10 and 27, is useful if you need to add, subtract, or compare three fractions with the denominators of 7, 10 and 27.

The fractions with 7, 10 and 27 denominators will look like this:

   
X
 
   
7
 
   
   
Y
 
   
10
 
   
   
Z
 
   
27
 

The Least Common Denominator of 7, 10 and 27 is 1890.


You need to multiply 7 by 270, 10 by 189, and 27 by 70 to make them all 1890. 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 270
 
   
7 x 270
 
   
   
Y x 189
 
   
10 x 189
 
   
   
Z x 70
 
   
27 x 70
 

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

   
270X
 
   
1890
 
   
   
189Y
 
   
1890
 
   
   
70Z
 
   
1890
 

You can substitute X, Y and Z with the numerators of your fractions with 7, 10 and 27 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 7, 10 and 28
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 7, 10 and 27 is the same as the Least Common Multiple of 7, 10 and 27.

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


 


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