Problem:
How many integers between and have all three of the numbers and as factors?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
A number with and as factors must be divisible by their least common multiple . Because , and , the of and is . There are three multiples of between and and .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions