  This paper focuses on the numerical scheme of highly nonlinear neutral
multiple-delay stohchastic McKean-Vlasov equation (NMSMVE) by virtue of the
stochastic particle method. First, under general assumptions, the results about
propagation of chaos in $\mathcal{L}^p$ sense are shown. Then the tamed
Euler-Maruyama scheme to the corresponding particle system is established and
the convergence rate in $\mathcal{L}^p$ sense is obtained. Furthermore,
combining these two results gives the convergence error between the objective
NMSMVE and numerical approximation, which is related to the particle number and
step size. Finally, two numerical examples are provided to support the finding.
