https://litecoin.info/Mining_hardware_comparison
It looks like it will draw around 200+ watts, so 6 of them + your MB/CPU/Memory and overhead will be very close to the PSU rating and probably over.
It is not good to run a PSU right at their limit, some say 80% of max capacity is good for long term usage, although a good PSU (Seasonic) will run right at or over its rating.
The other thing to be aware of is that the GPU's are very sensitive to power, particularly when you are close to the PSU limit.
You could put in 4 R9 280x and get a higher rate than with 6 270x.
Good Luck
well r9 280x need more but it does more hashings and the price is insane.. ill be happy if i get 2400khps with my rig.. i think 1300eu ROI will be reached in 2 months or so.. depends how i play..