Due to increased demand for video data by heterogeneous Internet users, the demand of multicasting is increasing day by day. Multicasting is an efficient group communication technique, which is widely used in various applications such as bloggers, Internet group, forums, conferences, YouTube and online TV. Because of the heterogeneous nature of receivers, the network become congested that results in high packet loss, less throughput and reduced QoS. The multicast congestion control seems to be an effective solution to tackle the congestion issue in which the reception rate is adjusted according to the feedback of receivers. This paper provides a new congestion control scheme for multicast communication called Extended Logarithmic Increase and Multiplicative Decrease (ELIMD) to reduce packet loss, increase throughput, QoS and fairness during group communication. The entire research work is classified and elaborated in the key components namely architecture, newly designed equations, and flow charts. Experimental validation in NS-2.35 has affirmed the efficiency of the proposed scheme ELIMD against the existing schemes.