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Peter's Party Zone sells cups in packages of 666 and plates in packages of 888.

Shaniya is hosting a birthday party for her little sister and wants to have the same number of each item.
What is the least number of packages of plates Shaniya needs to buy?

User Epstone
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2 Answers

2 votes
Prime factorize the two numbers:

666 = 2 x 3 x 3 x 37
888 = 2 x 2 x 2 x 3 x 37

Notice I lined up all the numbers into columns. If they appear for both numbers they are paired. The lowest common multiple is the product of all the unique columns:

LCM = 2 x 2 x 2 x 3 x 3 x 37 = 2664

You can use this strategy for as many numbers as you want. Also, you could find the greatest common factor by multiplying only the paired columns.
User Epignosisx
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4.5k points
6 votes

Answer: There are 3 packages of plates that she needs to buy.

Explanation:

Since we have given that

Number of packages of cups that Peter's Party Zone sells = 6

Number of packages of plates = 8

According to question, she is hosting a birthday party for her little sister and wants to have the same number of each item.

So, the least number of packages of plates and cups is L.C.M. of 6 and 8 = 24

So, the least number of packages of plates that she needs to buy is given by


(24)/(8)=3

Hence, there are 3 packages of plates that she needs to buy.

User Domingo
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