I have several fault codes coming up on a bmw 3 series - 274E - misfire detection summation error and 2744 - Misfire detection cylinder in 3rd ignition order.

https://www.bimmer-service.com/bmw-error-codes/

Do you have a mis-fire? The code 2744 is for transmission overheating.

P0300 Random/Multiple Cylinder Misfire Detected P0301 Cylinder 1 Misfire Detected P0302 Cylinder 2 Misfire Detected P0303 Cylinder 3 Misfire Detected P0304 Cylinder 4 Misfire Detected P0305 Cylinder 5 Misfire Detected P0306 Cylinder 6 Misfire Detected P0307 Cylinder 7 Misfire Detected P0308 Cylinder 8 Misfire Detected P0309 Cylinder 9 Misfire Detected P0310 Cylinder 10 Misfire Detected P0311 Cylinder 11 Misfire Detected P0312 Cylinder 12 Misfire Detected P0313 Misfire Detected with Low Fuel P0314 Single Cylinder Misfire (Cylinder not Specified) P0315 Crankshaft Position System Variation Not Learned P0316 Misfire Detected On Startup (First 1000 Revolutions)

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P2195 O2 Sensor Signal Stuck Lean Bank1 Sensor 1 P2196 O2 Sensor Signal Stuck Rich Bank1 Sensor 1 P2197 O2 Sensor Signal Stuck Lean Bank2 Sensor 1 P2198 O2 Sensor Signal Stuck Rich Bank2 Sensor 1

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It sounds like you have to replace the spark plug on cylinder 3

Misfire could be a number of things:
a) spark plugs - change them if used over 15K miles - inspect/regap.
b) spark plug wires - change them if over 15K miles - inspect
c) ECM (electronic control module) - test with HEI (high energy ignition) tester.

The vibrating tells me that the engine is running on less than its normal compliment of cylinders - the shaking is produced by the imbalance caused in the engine by one (or more) cylinder(s)
not firing at all.

The "Check Engine" light probably is coming on due the the misfire condition. Go to Pep Boys or
Advance Auto Pats, where they'll tell you (free) your codes causing the "Check Engine' light to be
lit - the code coming from your truck's computer will probably be one or more of:
P0300 - Random/Multiple Cylinder misfire detected
P0301 - Cylinder 1 misfire detected
P0302 - Cylinder 2 misfire detected
P0303 - Cylinder 3 misfire detected
P0304 - Cylinder 4 misfire detected
P0305 - Cylinder 5 misfire detected
P0306 - Cylinder 6 misfire detected
P0307 - Cylinder 7 misfire detected
P0308 - Cylinder 8 misfire detected
P0313 - Misfire detected with low fuel

Misfire could be a number of things:
a) spark plugs - change them if used over 15K miles - inspect/regap.
b) spark plug wires - change them if over 15K miles - inspect
c) ECM (electronic control module) - test with HEI (high energy ignition) tester.

The shaking tells me that the engine is running on less than its normal compliment of cylinders - the shaking is produced by the imbalance caused in the engine by one (or more) cylinder(s)
not firing at all.

The "Check Engine" light probably is coming on due the the misfire condition. Go to Pep Boys or
Advance Auto Pats, where they'll tell you (free) your codes causing the "Check Engine' light to be
lit - the code coming from your truck's computer will probably be one or more of:
P0300 - Random/Multiple Cylinder misfire detected
P0301 - Cylinder 1 misfire detected
P0302 - Cylinder 2 misfire detected
P0303 - Cylinder 3 misfire detected
P0304 - Cylinder 4 misfire detected
P0305 - Cylinder 5 misfire detected
P0306 - Cylinder 6 misfire detected
P0307 - Cylinder 7 misfire detected
P0308 - Cylinder 8 misfire detected
P0313 - Misfire detected with low fuel

P0301 Cylinder No. 1 Misfire Detected
P0302 Cylinder No. 2 Misfire Detected
P0303 Cylinder No. 3 Misfire Detected
P0304 Cylinder No. 4 Misfire Detected
P0305 Cylinder No. 5 Misfire Detected
P0306 Cylinder No. 6 Misfire Detected
P1346 Variable Valve Timing (VVT) Circuit Range/Performance Fault
P1349 Variable Valve Timing (VVT) System Malfunction
P0330 Knock Sensor
P0446 EVAP Vent Control Fault
P0430 Catalyst System

Stop driving immediately.....

You defiantly skipped on your timing........

to narrow this fault down it would be best to swap the coil,plug and injector,all too different cylinders to see what cylinder the fault goes to and then you will know the problem.

first code means random/multiple misfire cylinder (s) detected
second code means misfire detected number 1 cylinder, third code, miss=fire number 3 cylinder fourth code misfire number 4 cylinder
causes can be spark plugs, HT leads, ignition coils, injector, wiring fault, low compression/ engine mechanical fault

Replace the Oxygen sensor. All your trouble codes are downstream of the oxygen sensor, and are related to it.

Once you replace the oxygen sensor (replace with a BOSCH sensor!), remove the positive battery cable, step on your brakes for 10 seconds, then reattach the cable. This will clear the codes from your ECM (Electronic Control Module).