Three bathrooms rarely means three showers at once, but plan for it if mornings overlap: three 2 GPM showers is 6 GPM, plus 2 GPM if the dishwasher runs. With 47°F winter water (a 73°F rise) a 199,000 BTU condensing unit holds about 5.2 GPM, so three showers at once in winter calls for two units or a smaller set of fixtures. With 67°F water (a 53°F rise) the same unit holds about 7.1 GPM.
Electric?
A 36 kW electric unit holds about 4.6 GPM at a 53°F rise and 3.4 GPM at a 73°F rise, and draws 150 amps: workable for three bathrooms only in a mild climate with modest overlap.
Large units
Rheem RTGH-95DVLN-3 199,900 BTU Natural Gas Condensing Tankless Water Heater, Rinnai CX199iN 199,000 BTU Condensing Tankless Water Heater and Rinnai RX199iN Condensing Tankless Water Heater.
Products mentioned

Rheem RTGH-95DVLN-3 199,900 BTU Natural Gas Condensing Tankless Water Heater
199,900 BTU/h · 9.5 GPM max

Rinnai CX199iN 199,000 BTU Condensing Tankless Water Heater
199,000 BTU/h · 11.1 GPM max · Propane

Rinnai RX199iN Condensing Tankless Water Heater
199,000 BTU/h · 11.0 GPM max · Propane