Logout for twitter, linkedin and last.fm

I am able to log into my application with LinkedIn, Twitter and last.fm but o开发者_JS百科n logout it logs out of the application and not LinkedIn, Twitter and last.fm. I want the user to log out of both LinkedIn, Twitter and last.fm and my application at the same time. Please anyone suggest me how to do that.

The purpose of the various APIs is to permit your site to consume their user's data.

Your site has nothing at all to do with the rest of their site or service.

It would be objectively wrong if your site was able to log their user out of their site.

Or, put another way, short of giving the users links to log them out of the other sites, you can't do this. And don't even think of trying to direct their browser at those URLs, you will make your users hate you.