Common Multiple
            Common Multiple
       A number that is a 
         A number that is a 
       multiple of two or more 
       multiple of two or more 
       numbers.
       numbers.
     Some multiples of 4 & 6 
      
                            
     12, 24, 36
      Least Common Multiple
       Least Common Multiple
     The smallest common 
       The smallest common 
     multiple of a set of two or 
     multiple of a set of two or 
     more numbers.
     more numbers.
      8 = 8, 16, 24, 32, 40, 48
      6 = 6, 12, 18, 24, 30, 36 
                            
   Shortcut for Finding the Least 
   Shortcut for Finding the Least 
 Common Denominator or Least 
  Common Denominator or Least 
            Common Multiple
             Common Multiple
  Check to see if the smaller denominator 
  divides evenly into the larger denominator.
  If it does, use the larger denominator for 
  your LCD or LCM.
            1
            3     3 will divide evenly into 9, 
            1     so 9 is your LCD or LCM.
         -  9
                            
      To Subtract Fractions With 
      To Subtract Fractions With 
          Unlike Denominators
          Unlike Denominators
       Find the multiples of 
         Find the multiples of 
       each denominator.
       each denominator.
        1
        5 = 5, 10, 15, 20, 25, 30
        1
     - 10 = 10, 20, 30, 40, 50
                            
      To Subtract Fractions With 
      To Subtract Fractions With 
          Unlike Denominators
          Unlike Denominators
       Compare the lists of multiples.  
         Compare the lists of multiples.  
       Circle the common multiples 
       Circle the common multiples 
       between the two lists.
       between the two lists.
        1
        5 = 5, 10, 15, 20, 25, 30
        1
     - 10 = 10, 20, 30, 40, 50