Step 1: Lanthanoids belong to the f-block elements, specifically the 4f series. They are characterized by the filling of the 4f orbitals. Step 2: The most stable and common oxidation state for almost all lanthanoids is \( +3 \). This is due to the stable removal of two 6s electrons and one 5d or 4f electron. Step 3: Some lanthanoids can also show \( +2 \) and \( +4 \) oxidation states, but these are less common and occur only in certain cases (e.g., Eu\(^{2+}\), Ce\(^{4+}\)). The \( +5 \) oxidation state is very rare and not typical for lanthanoids.