How fast does my internet connection has to be to play my PS2 and Xbox games online without any lags?

I have a 6Mbps download and a 2.7Mbps upload connection. Is that good enough to play games online without lag? So my upload is bout 347kB/s, is that good? I have a PS2 and a Xbox. I want to play my multiplayer online games that I have for the PS2 and Xbox. Thanks to all in advance

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How fast does my connection have to be to play xbox live games?

How fast does your connection have to be to play games like battlefield bad company 2, modern warfare 2, borderlands, and stuff like that? My connection is like .7 mbps. I know it sucks, but some of my friends know how to play online with dial up, and the same connection i got. I have already tried to play on ps3 network but it was to slow. Please help me.