Must have 4 ram slots.
2 PCI-e x16 slots preferable, but not necessary.

We've started a bounty thread on Reddit to get LTC support added to Armory here.

This issue on Github details what it would take to get things going.

Post pledges either in the reddit comments, or on here. I will be updating this post with the current total regularly.
Input from developers would also be greatly appreciated.
Lets make this happen!

Edit: Total amount pledged between here and reddit is 168 LTC.