What was found
APPROX 40 MIN INTO FLIGHT, L FMC FAILED, BUT CAME BACK ONLINE BEFORE QRH WAS RUN. APPROX 30 MIN LATER, BOTH FMCS FAILED COMPLETELY. RAN QRH AND PROCEEDED W/O FMC'S. THEY APPEARED TO COME BACK ONLINE BUT WE DID NOT USE FMC'S. GROUNDED - YES. NR 1 AND 2 FMC COMPUTER OPS CHECK GOOD. REF AMM 34-61 TASK 836. NO HISTORY 30 DAYS.