title: find least common denominator for list of fractions in python
body: <p>I have a list of fractions</p>
  
  <pre><code>from fractions import Fraction
  
  fractions_list=[Fraction(3,14),Fraction(1,7),Fraction(9,14)]
  </code></pre>
  
  <p>The output should be a list with the numerators for each fraction, then the denominator for all of them at the end and in simplest form. For above example the result (3/14, 2/14, 9/14) would be represented as follows</p>
  
  <pre><code>[3,2,9,14]
  </code></pre>
  
  <p>Is there an elegant solution for this? All I can think of involves a lot of intermediate lists to store some variables and scales horribly.</p>