Measurement of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>, and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math>lifetimes

We have measured the lifetimes of the ${D}^{0}$, ${D}^{+}$, and ${D}_{s}^{+}$ mesons which were produced by a high-energy photon beam incident on beryllium. Using the Fermilab Tagged Photon Spectrometer with a silicon-microstrip vertex detector we have collected ${10}^{8}$ events from which we have extracted about 4200 ${D}^{0}$ decays in the ${K}^{\mathrm{\ensuremath{-}}}$${\ensuremath{\pi}}^{+}$ and ${K}^{\mathrm{\ensuremath{-}}}$${\ensuremath{\pi}}^{+}$${\ensuremath{\pi}}^{\mathrm{\ensuremath{-}}}$${\ensuremath{\pi}}^{+}$ modes, 3000 ${D}^{+}$ into the ${K}^{\mathrm{\ensuremath{-}}}$${\ensuremath{\pi}}^{+}$${\ensuremath{\pi}}^{+}$ channel, and a total of 230 ${D}_{s}^{+}$ into \ensuremath{\varphi}${\ensuremath{\pi}}^{+}$ and K${\ifmmode\bar\else\textasciimacron\fi{}}^{\mathrm{*}0}$${K}^{+}$. From an analysis of these events we have determined the lifetimes for the ${D}^{0}$, ${D}^{+}$, and ${D}_{s}^{+}$ to be 0.422\ifmmode\pm\else\textpm\fi{}0.008\ifmmode\pm\else\textpm\fi{}0.010, 1.090\ifmmode\pm\else\textpm\fi{}0.030\ifmmode\pm\else\textpm\fi{}0.025, and 0.47\ifmmode\pm\else\textpm\fi{}0.04\ifmmode\pm\else\textpm\fi{}0.02 psec, respectively.