There are several love stories in Love Actually. It's hard to give an exact number as it depends on how you define a separate story.
In Love Actually, there are quite a few love stories. Some are more prominent than others, but they all contribute to the overall theme of love in different ways. You could say there are at least five or six distinct storylines centered around love.
Love Actually features multiple love stories. The number varies depending on how you count them. It could be around eight or so, with each story offering a unique perspective on love and relationships.