It is only in recent years that the study of the microscopic dynamics of metallic glasses (MGs) has become possible thanks to the advance in X-ray photon correlation spectroscopy (XPCS). This is precisely the technique we used for the analysis of a La60N i15Al25 Lanthanum-based glass (LaMG) and a high-entropy LaCeY N iAl glass (LaHEMG). We are particularly interested in two parameters that describe their dynamics: the relaxation time τα and the shape parameter β , which describe the relaxation process at different temperatures. In this article we experimentally obtained these parameters from the characterisation of the intermediate scattering function obtained from the Xray Photon Correlation Spectroscopy (XPCS) technique at the European Synchrotron Radiation Facility (ESRF). 2022/2023