The manual procedure below simply frees some MB of memory which can hold you from installing an app and no memory manager, which I am aware of, is able to do it.
A simple way to free up storage space is by deleting all the log files in the device memory. Just dial *#9900# on your phone and select option 2 “Delete dumpstate/logcat” in the prompted menu. It’s not necessary to root your phone either. That’s it!