  Recently, ${\cal N} =3$ mass-deformed ABJM model with arbitrary mass-function
depending on a spatial coordinate was constructed. In addition to the ${\cal N}
= 3$ case, we construct lower supersymmetric ${\cal N} =1$ and ${\cal N} =2$
inhomogeneously mass-deformed ABJM (ImABJM) models, which require three and two
arbitrary mass-functions, respectively. We also construct general vacuum
solutions of the ${\cal N} = 3$ ImABJM model for any periodic mass-function.
There are two classes of vacua, which are diagonal type and GRVV type according
to reference value of mass-functions. We provide explicit examples of the
vacuum solutions and discuss related operators.
