The downfall of ArrayList and LinkedList is that when iterating through them, depending on the search algorithm, the time it takes to find an item grows with the size of the list.
The beauty of hashing is that although you sacrifice some extra time searching for the element, the time taken does not grow with the size of the map. This is because the HashMap finds information by converting the element you are searching for, directly into the index, so it can make the jump.
Long story short... LinkedList: Consumes a little more memory than ArrayList, low cost for insertions(add & remove) ArrayList: Consumes low memory, but similar to LinkedList, and takes extra time to search when large. HashMap: Can perform a jump to the value, making the search time constant for large maps. Consumes more memory and takes longer to find the value than small lists.