My boyfriend has been sleeping around?

Today I found out my boyfriend has been sleeping around. He is using dating apps and has been asking girls out. I saw his conversations with these girls in his facebook chat. He left his office for a long time and had his Facebook chat open on one of his monitors, where I see a long list of conversations with girls..
This confirmed my feeling that he is being unfaithful.
I did not tell him what I saw. But I told him about my suspisions and confronted him about it. He denied of course.

I did not tell him about the conversations I saw because I love him and want to leave my options open I guess..

How should I confront him about this?

I would love to know what you have to say. Thank you.
My boyfriend has been sleeping around?
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