I believe it's in the 6 to 7 amp range in its normal running state. When the compressor kicks on, there is a much larger in-rush current draw for a few milliseconds.
I have been in several campgrounds with 30 amp connections with our residential refrigerator and did not have any problems. We made sure to run just one A/C at a time and to use propane to operate the hot water heater.
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