# The cafeteria cook prepares fried chicken every 6 days and spaghetti every 4 days. He also bakes a cake every 20 days. After how many days can the students expect to eat fried chicken, spaghetti, and cake all on the same day?

1
by stillhangz208

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

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