There are three pieces of cake weighing $9/2$ lbs, $27/4$ lbs and $36/5$ lbs. Pieces of the cake are equally divides and distributed in such a manner that every guest in the party gets one single piece of cake. Further the weight of the pieces of the cake is as heavy as possible. What is the largest number of guest to whom we can distribute the cake?
- $54$
- $72$
- $20$
- None of these