Remember, a literature review provides an overview of a topic. There may or may not be a method for how studies are collected or interpreted. Lit reviews aren't always obviously labeled "literature review"; they may be embedded within sections such as the introduction or background. You can figure this out by reading the article.
Systematic reviews address a clinical question. Reviews are gathered using a specific, defined set of criteria.
Meta-analysis is a study that combines data from OTHER studies. All the studies are combined to argue whether a clinical intervention is statistically significant by combining the results from the other studies. For example, you want to examine a specific headache intervention without running a clinical trial. You can look at other articles that discuss your clinical intervention, combine all the participants from those articles, and run a statistical analysis to test if your results are significant. Guess what? There's a lot of math.