CRJ-200 Captain reported low oil pressure indications on the left engine during cruise. The flight crew elected to perform an inflight shut down of the affected engine and continue the descent and approach to original destination airport.

Narrative

During cruise flight at 23;000 feet; we got a left engine low oil pressure warning message that went away and then came back 4 to 5 times in a short period of time the pressure was fluctuating between 23 and 39 psi. We ran the QRH and the message went away. We then brought the left engine back to a power setting of around 65/%. About 5 minutes later during the descent into ZZZ we got the warning message again and again ran the QRH. This time the message didn't go away so we requested priority handling from ATC and decided that in line with the QRH; the oil temp was at an abnormally low temperature compared to the right engine; both being at idle. We performed an inflight engine shut down of the left engine by the QRH. We then proceeded with the single engine approach and landing checklist per the QRH and then the decent and approach checklists. When this first happened; we sent via ACARS to Dispatch and Maintenance about what we were seeing and when it occurred. The second time we let them know that we had requested priority handling and were going to shut the engine down. We proceeded with a single engine approach and landing. We also let the FA (Flight Attendant) know what was going on and what our plan of action was going to be. we landed and stopped on the taxi way and had ARFF take a look at the aircraft. We then proceeded to the gate and off load the passengers. After the aircraft was at the gate I remembered that we were task saturated and forgot to run the landing checklist. We had the gear down and the flaps at the setting required in the QRH checklist.