  Quantum anomalous Hall (QAH) effect is a quantum Hall effect that occurs
without the need of external magnetic field. A system composed of multiple
parallel QAH layers is an effective high Chern number QAH insulator and the key
to the applications of the dissipationless chiral edge channels in low energy
consumption electronics. Such a QAH multilayer can also be engineered into
other exotic topological phases such as a magnetic Weyl semimetal with only one
pair of Weyl points. This work reports the first experimental realization of
QAH multilayers in the superlattices composed of magnetically doped
(Bi,Sb)$_2$Te$_3$ topological insulator and CdSe normal insulator layers grown
by molecular beam epitaxy. The obtained multilayer samples show quantized Hall
resistance $h/Ne$$^2$, where $h$ is the Planck's constant, $e$ is the
elementary charge and $N$ is the number of the magnetic topological insulator
layers, resembling a high Chern number QAH insulator.
