Use of beaucoup in a sentence - placement

J'ai beaucoup aimé ce livre.

This is probably your best and most commonly used option. Remember: adverbs are most often placed right after the first conjugated verb. Sometimes also at the end or at the beginning of a sentence.

Here is a kwiziq lesson on this topic: https://progress.lawlessfrench.com/my-languages/french/view/2990

I think it has to be "j'ai beaucoup aimé ce livre". 

Beaucoup is not one of the adverbs that can be placed at the beginning or end of a sentence.

@Alan: yeah, you're probably right. It sounds strange at the end. Have edited my response.