American Airlines has the lowest fare I have seen in two months today for Los Angeles to Lima, Peru at $524 round trip for travel from September to December 2015.
At time of this post, most weeks have this fare five days a week for travel September to early December.
American Airlines $523.34
LAX-MIA Miami-LIM Lima, Peru- DFW Dallas – LAX Los Angeles
9,943 flight miles in economy O class.
October 24 – November 7, 2015
San Francisco departures are as low as $636 with this sale.