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2015-03-31T22:31:27+08:00

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First and foremost, this question is about getting their Least Common Multiple. You can just get it if you want.

Given:
               Fried Chicken = prepared every 6 days
               Spaghetti       = prepared every 4 days
               Cake              = prepared every 20 days

Asked:    
             After how many days can the students expect to eat fried chicken, spaghetti, and cake all on the same day?

Solution:
                   Get the LCM of 6, 4 and 20.
 
Continuous Division:
                                    | 6,     4,     20
                                2  | 3,      2,    10
                                2  | 3,      1,     5

LCM = 2
x 2 x 3 x 1 x 5
          = 60

Final Answer:
                         after 60 days

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