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what's a common denomntaiar for 3,4,6,8

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3 Answers

I am not sure about the circle graph, but I can show you how to find the common denominator.  I assume that the listed numbers are the denominators of your fractions.

The factors of each number are:

3: 3

4: 2 X 2

6: 2 X 3

8: 2 X 2 X 2

Since 8 has three twos as factors, and no other number has more, the common denominator will have three twos.  Since 3 and 6 each have 3 as a factor, the least common denominator is going to be:

2 X 2 X 2 X 3 = 24

 

 
1) find your largest denominator  (in this case 8), and use multiples of that number, starting with 1.
 
use:  8   (= 8 x 1)   
 
2) do all other denominators (3,4,6) divide evenly into 8).
    NO.  3 and 6 don't go evenly, so use next multiple of 8
 
use: 16  (= 8 x 2)
 
A repeat step #2, but using 16  (do 3,4,6 divide evenly into 16)
    NO. 3 and 6 still don't divide evenly to 16, so try next multiple of 8
 
use: 24 (= 8 x 3)
 
ok, we find all the numbers (3,4,6) divide evenly into 24.   (3x8, 4x6, 6x4)
 
So 24 IS your lowest common denominator.   (so in general, just use steps 1 and 2 for any problem)