1. An integrated management system, comprising: a plurality of air conditioner systems comprising at least one air conditioner group including a plurality of air conditioners, and a local controller connected to the at least one air conditioner group via a gateway and configured to convert operation state information comprising malfunction information, priority information indicating priority levels of the malfunction information and regular inspection service information indicating that at least one air conditioner needs a regular inspection service, related to the plurality of air conditioners according to a remote communication protocol; and a remote integrated management system connected to the plurality of air conditioner systems and configured to receive the converted operation state information from the local controller, to analyze the operation state information related to the plurality of air conditioners in the plurality of air conditioner systems, and to generate an alarm signal based on the analyzed operation state information, wherein the remote integrated management system comprises: an application server configured to analyze the malfunction information indicating that at least one air conditioner in the at least one air conditioner group has malfunctioned and the priority information indicating priority levels of the malfunction information, and the regular inspection service information indicating that at least one air conditioner needs a regular inspection service, and to transmit an alarm signal to a service personnel based on the analyzed malfunction information and priority information, or the regular inspection service information; and a database server configured to store service records or history corresponding to determined malfunctions, the service that has been performed and other data corresponding to controlling the plurality of air conditioner systems, systems; and a monitoring server configured to display the malfunction information, the regular inspection service information and the priority information for the plurality of air conditioners, wherein the application server is further configured to transmit the alarm signal to the service personnel via a short message when the priority information indicates the priority level of the malfunction is high, and transmit the alarm signal to the service personnel via an email message when the priority information indicates the priority level of the malfunction is low.