By Lucia Mutikani WASHINGTON (Reuters) -The number of Americans filing new claims for unemployment benefits fell last week as demand for labor remained strong, positioning the economy for another month of solid job gains. Unemployment rolls were the smallest in 52 years in early March, the Labor Department’s weekly jobless claims report on Thursday also showed. “Through some of the noise in weekly figures, filings have been coming in at pretty low levels in recent weeks, suggesting that the labor market is strong,” said Daniel Silver, an economist at JPMorgan in New York. Initial claims for st…