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Least Common Denominator (LCD) of 35, 38, and 45




The Least Common Denominator of 35, 38 and 45, also known as the Lowest Common Denominator of 35, 38 and 45, is useful if you need to add, subtract, or compare three fractions with the denominators of 35, 38 and 45.

The fractions with 35, 38 and 45 denominators will look like this:

   
X
 
   
35
 
   
   
Y
 
   
38
 
   
   
Z
 
   
45
 

The Least Common Denominator of 35, 38 and 45 is 11970.


You need to multiply 35 by 342, 38 by 315, and 45 by 266 to make them all 11970. 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 342
 
   
35 x 342
 
   
   
Y x 315
 
   
38 x 315
 
   
   
Z x 266
 
   
45 x 266
 

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

   
342X
 
   
11970
 
   
   
315Y
 
   
11970
 
   
   
266Z
 
   
11970
 

You can substitute X, Y and Z with the numerators of your fractions with 35, 38 and 45 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 35, 38 and 46
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 35, 38 and 45 is the same as the Least Common Multiple of 35, 38 and 45.

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


 


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