BTC-e to convert LTC to BTC, then use CampBX to exchange to USD then withdraw from campBX to dwolla then to your bank for free, or directly to bank from campBX via ACH for $2 fee.
This is all assuming you are in US.
This is all assuming you are in US.
Using coinbase.com is even easier.
So go from LTC to BTC then btc-e.com -> coinbase.com -> bank account -> profit
Lot of loose ...