Answer: The smallest button is first button of size
and the greatest button is the second button of size

Explanation:
Since we have given that
Length of first button is given by

Length of second button is given by

Length of third button is given by

Now, make the denominator :
L.C.M. of 8,8, and 4 is 8
So, Length of third button is given by

So, arrangement will be

Hence, The smallest button is first button of size
and the greatest button is the second button of size
