Single Business unit with Multiple Legal entities and Multiple Inventory organizations

Summary:

Hi Team,

We have requirement to have single business unit for multiple Legal entities which are having different inventory organization.

Example:

Inventory organization INV1 is associated to Legal entity LE1,

Inventory organization INV2 is associated to Legal entity LE2,

Inventory organization INV3 is associated to Legal entity LE3,

Inventory organization INV4 is associated to Legal entity LE4

All these organizations are tied to single Business unit called BU1, and PCBU1.

Question: How to associate multiple legal entities to single business unit? In this example, do we need to have Single management Business Unit BU1 and create separate 4 PCBU assigned to each legal entity?