Using the least common factor of 15 and 12, it is found that the fewest number of packages that could be bought is of 5.
How to find the least common factor of two amounts?
To find the lcm(least common multiple), we factor the numbers by prime factors, and then multiply these factors.
In this problem, packages of 12 candies will be used to give candies for 9 + 6 = 15 people, hence the least number of candies is lcm(12,15).
Then:
12 - 15|2
6 - 15|2
3 - 15|3
1 - 5|5
1 - 1
Hence lcm(12,15) = 2 x 2 x 3 x 5 = 60.
Since 60 candies are needed, and each package has 12 candies, the number of packages is given by:
n = 60/12 = 5.
More can be learned about the least common factor at https://brainly.com/question/24873870
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