Final answer:
The correct management for a patient with multilocular lesions and multinucleated giant cells in the jaw is to obtain a serum parathormone (PTH) level to check for hyperparathyroidism before any invasive dental treatments.
Step-by-step explanation:
An adult patient has several multilocular lesions associated with vital mandibular teeth and a histopathologic analysis reveals the presence of multinucleated giant cells. Given these clinical findings, the most appropriate management for this patient is to obtain a serum parathormone (PTH) level. This is because the presence of multilocular lesions in the jaw and multinucleated giant cells could suggest a serious condition such as hyperparathyroidism, which can cause a 'brown tumor' of the jaw that mimics the appearance of a dental cyst or abscess. Serum PTH measurement is essential to assess for hyperparathyroidism before considering any other invasive dental treatment or surgeries.