Step 1: The decomposition reaction of metal carbonates occurs as follows:
\[
MCO_3 \rightarrow MO + CO_2
\]
where \( M \) is a metal.
Step 2: The thermal stability of metal carbonates decreases as we move up the group in the periodic table.
- Lithium carbonate (Li\(_2\)CO\(_3\)) decomposes more easily than CaCO\(_3\), NaHCO\(_3\), and Na\(_2\)CO\(_3\) due to the small size of the Li\(^{+}\) ion, which distorts the carbonate ion, making it easier to decompose.
Thus, the correct answer is \( \text{Li}_2\text{CO}_3 \).