Gary, it is probably a moot point now, but the LG model is LCTS20220S /01 and the current draw is 2.7 amps.
Bill
gotta get you guys thinking in Watts not Amps.. LOL
ok here is a rough estimate.
that fridge has an energy star rating of 471 kW/h per year, if we rough estimate it to 471 / 365 days then that's 1.29 kW/h per day
or 1290 W/hrs. a typical GC2 has a 20 hr rate of 220 A/h and an ideal storage of 6 V * 220 A = 1.32 Kw
a pair of GC2 in series for 12 V has a theoretical capacity of = 2640 Watts @ 12 V
and two strings will give approx 2640 * 2 = 5280 W
in theory we could run the fridge for ( 5280 / 1290 ) = 4 days.. but we can't due to the battery chemistry, Mr Peukert and inverter efficiency..
your figure of 2.7 A at 120 V = 324 W so 324 * 24 = 7776 W/h so the energy star rating suggests an approx ( 1290 / 7776 ) = 17 % duty cycle..
i'll wager it's more like 20% in hotter weather.. however..
your fridge will consume 1290 W/h and at 12 V with 90% inverter efficiency that's now approx ( 1290 * 1.1 ) = 1419 W/h
in theory we now get ( 5280 / 1419 ) = 3.7 days or 1.85 to 50% DOD
in practice, Mr Peukert will steal our capacity from us and that run time will now be closer to 30 hours for 50% capacity loss..
now if only we could have a lead acid battery without the Peukert effect.. hmm.. oh wait ! it's called Lithium.. LOL