IUPAC name of the complex,  ${\mathrm{LiAlH}}_4$ is

Step 1… Name of cation first ---${\mathrm{Li}}^{+}$

Step 2…Name the Anion

$[{\mathrm{AlH}}_4{]}^{-}$

While naming a complex, ligands are named first(in alphabetical order) and then name the metal.

In an anionic complex, the suffix “ate’ must be used after the name of the metal.

Oxidation number of metal must be indicated as a roman number in parenthesis after the name of the metal

Ligand is ${\mathrm{H}}^{-} \left(\mathrm{hydrido}\right)$

Ox.state of Al in $[{\mathrm{AlH}}_4{]}^{-}$

X+4(-1)=-1

X=+3