Influence of a research journal is usually assessed in contemporary academia by Journal Impact Factor (JIF) given by Journal Citation Reports (JCR) published annually by Clarivate Analytics. JCR also provides Journal Immediacy Index (JII), an additional citation parameter which indicates current impact of journals. These citation based measures are simple arithmetic mean of raw citation counts to source publications. It is opined and empirically tested that three major extraneous citation optimizing factors i.e., Author self-citation (ASC), Journal self-citation (JSC) and Recitation (RC) can inflate these popular citation based metrics. This study examines nineteen Scopus index Library and Information Science (LIS) journals to understand individual as well as unified effects of these three optimizing factors on three popular impact indicators i.e., 2-year JIF, 3-year JIF and JII. It is found that ASC and JSC have noticeable effects on these impact indicators. Further, it is observed that these impact indicators exhibit very poor correlation among them when their values are deduced from raw citation counts, though all of them express simple arithmetic mean values. However, modified impact indicators calculated after excluding citations due to these optimizing factors, exhibit moderate to strong correlation among them. It is therefore concluded that more refined method that can automatically exclude the effect of these optimizing factors in their derivation may be needed for fair assessment of a journal's relative impact in scholarly communication.