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Least Common Denominator (LCD) of 35, 38, and 42




The Least Common Denominator of 35, 38 and 42, also known as the Lowest Common Denominator of 35, 38 and 42, is useful if you need to add, subtract, or compare three fractions with the denominators of 35, 38 and 42.

The fractions with 35, 38 and 42 denominators will look like this:

   
X
 
   
35
 
   
   
Y
 
   
38
 
   
   
Z
 
   
42
 

The Least Common Denominator of 35, 38 and 42 is 3990.


You need to multiply 35 by 114, 38 by 105, and 42 by 95 to make them all 3990. 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 114
 
   
35 x 114
 
   
   
Y x 105
 
   
38 x 105
 
   
   
Z x 95
 
   
42 x 95
 

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

   
114X
 
   
3990
 
   
   
105Y
 
   
3990
 
   
   
95Z
 
   
3990
 

You can substitute X, Y and Z with the numerators of your fractions with 35, 38 and 42 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 43
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 35, 38 and 42 is the same as the Least Common Multiple of 35, 38 and 42.

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


 


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