  LaCrGe$_3$ is an itinerant ferromagnet with a Curie temperature of $T_{\rm
c}$ = 85 K and exhibits an avoided ferromagnetic quantum critical point under
pressure through a modulated antiferromagnetic phase as well as tri-critical
wing structure in its temperature-pressure-magnetic field ($T$-$p$-$H$) phase
diagram. In order to understand the static and dynamical magnetic properties of
LaCrGe$_3$, we carried out $^{139}$La nuclear magnetic resonance (NMR)
measurements. Based on the analysis of NMR data, using the
self-consistent-renomalization (SCR) theory, the spin fluctuations in the
paramagnetic state are revealed to be isotropic ferromagnetic and three
dimensional (3D) in nature. Moreover, the system is found to follow the
generalized Rhodes-Wohfarth relation which is expected in 3D itinerant
ferromagnetic systems. As compared to other similar itinerant ferromagnets, the
Cr 3$d$ electrons and their spin fluctuations are characterized to have a
relatively high degree of localization in real space.
