Answer:
The club sponsor needs at least 15 packages of caps and 9 packages of shirts.
Explanation:
We have to find the least common multiple of 3 and 5.
The LCM of 3 and 5 is 15.
There are 45 science club members in all. The caps come in packages of 3 and the shirts come in packages of 5.
So, the least number of packages of caps and shirts that will need to be ordered are:
caps =

shirts =

Therefore, the club sponsor needs at least 15 packages of caps and 9 packages of shirts.