Answer

Can the DuroMax XP12000EH run LG LCE3010 induction cooktop, 1,900 W zone?

Runs

Runs. Running draw 1,900 W fits within 9,500 running watts and this is not a motor-start load.

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The comparison

DuroMax XP12000EHLG LCE3010 induction cooktop, 1,900 W zone
Running watts9,500 W1,900 W
Starting / surge watts12,000 WNot published
Typeopen-frame, Dual fuel (gasoline/propane)Kitchen
Published runtime19 hr at 25% / 8 hr at 50% on gasoline; 14 hr / 7 hr on a 40-lb propane tank
SourcesGenerator sourceAppliance source

Questions

Can the DuroMax XP12000EH run LG LCE3010 induction cooktop, 1,900 W zone?

Runs. Running draw 1,900 W fits within 9,500 running watts and this is not a motor-start load.

What watts were compared?

Generator: 9,500 running W and 12,000 starting W on gasoline. Appliance: 1,900 W running, startup not published.

How long will it run?

Fuel runtime depends on total load. Published runtime: 19 hr at 25% / 8 hr at 50% on gasoline; 14 hr / 7 hr on a 40-lb propane tank.

Where did the numbers come from?

DuroMax product page and spec sheet: gasoline 12000 / 9500; propane 11400 / 9025; 120/240V 30A twist-lock and 50A; 19/8 hr gas and 14/7 hr propane (40-lb) at 25%/50%. ENERGY STAR lists zone 2 of LCE3010SBE at 1,900 W. This entry is that zone alone, not two zones together.

Safety first

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