Haven't posted a mathematical puzzle for a while; time to remedy that!
A fairly gentle start, inspired by a Junior Challenge.
Question
The aim is to fill the inverted pyramid of squares with six different positive integers, one in each square.
Each square below the first row is the quotient of the two squares above it, reading from left to right - see the smaller diagram. The numbers in the first row are, obviously, a free choice.
What is the smallest possible sum of the six numbers?
images: 
The first correct answer and further interesting comments will be rewarded with an upvote.
Enjoy!
More Brainsteems coming soon...
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