Question

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

Answer 1

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.

Answer 2

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

Step-by-step 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

$\dfrac{24}{8}=3$

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