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Least Common Denominator (LCD) of 6 and 15




The Least Common Denominator of 6 and 15, also known as the Lowest Common Denominator of 6 and 15, is useful if you need to add, subtract, or compare two fractions with the denominators of 6 and 15.

The fractions with 6 and 15 denominators will look like this:

   
X
 
   
6
 
   
   
Y
 
   
15
 
   

The Least Common Denominator of 6 and 15 is 30.


You need to multiply 6 by 5 and 15 by 2 to make them both 30. 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 values and get the same denominator:

   
X x 5
 
   
6 x 5
 
   
   
Y x 2
 
   
15 x 2
 
   

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

   
5X
 
   
30
 
   
   
2Y
 
   
30
 
   

You can substitute X and Y with the numerators of your fractions with 6 and 15 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 6 and 16
Here is the next set of numbers we have calculated the LCD for.


      
      


Notes

The Least Common Denominator of 6 and 15 is the same as the Least Common Multiple of 6 and 15.

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


 


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