  We test the holographic relation between the vacuum expectation values of
gauge invariant operators in ${\cal N} = 6$ ${\rm U}_k(N)\times {\rm
U}_{-k}(N)$ mass-deformed ABJM theory and the LLM geometries with
$\mathbb{Z}_k$ orbifold in 11-dimensional supergravity. To do that, we apply
the Kaluza-Klein reduction to construct a 4-dimensional gravity theory and
implement the holographic renormalization procedure. We obtain an exact
holographic relation for the vacuum expectation values of the chiral primary
operator with conformal dimension $\Delta = 1$, which is given by $\langle
{\cal O}^{(\Delta=1)}\rangle= N^{\frac32} \, f_{(\Delta=1)}$, for large $N$ and
$k=1$. Here factor $f_{(\Delta)}$ is independent of $N$. Our results involve
infinite number of exact dual relations for all possible supersymmetric Higgs
vacua and so provide a nontrivial test of gauge/gravity duality away from the
conformal fixed point. We also extend our results to the case of $k\ne 1$ for
LLM geometries represented by rectangular-shaped Young-diagrams.
