I just came across an Excercise in genki where they show how to use the verb かかる。What’s interesting is that I’ve found 3 types of sentences, where 2 of them use 間 and 1 of them doesn’t.
秒, 分, and ヶ月 are usually seen without. Here’s the relevant imabi article, which says 分間 is fine and sounds more formal, but I have really never seen it that way (my IME won’t even convert it).