The human head was found Tuesday afternoon, the first hand was found Wednesday morning and the second hand was found Wednesday afternoon. Police believe the murder occurred elsewhere and the body was dumped in the park.
"We're hoping we can find more remains," LAPD Cmdr. Andrew Smith said, according to the Times.
The victim appeared to be an Armenian man between 40 and 60.
The search is expected to continue Wednesday night and Thursday morning, the Times reported.
The LAPD told KPCC that the case was still under investigation and they couldn't provide any further information at the moment, and that they do not know when there will be further info available.