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We report on the discovery of three transiting super-Earths around K2-155(EPIC 210897587), a relatively bright early M dwarf ($V=12.81$ mag) observedduring Campaign 13 of the NASA K2 mission. To characterize the system andvalidate the planet candidates, we conducted speckle imaging andhigh-dispersion optical spectroscopy, including radial velocity measurements.Based on the K2 light curve and the spectroscopic characterization of the hoststar, the planet sizes and orbital periods are $1.55_{-0.17}^{+0.20}\,R_\oplus$and $6.34365\pm 0.00028$ days for the inner planet;$1.95_{-0.22}^{+0.27}\,R_\oplus$ and $13.85402\pm 0.00088$ days for the middleplanet; and $1.64_{-0.17}^{+0.18}\,R_\oplus$ and $40.6835\pm 0.0031$ days forthe outer planet. The outer planet (K2-155d) is near the habitable zone, withan insolation $1.67\pm 0.38$ times that of the Earth. The planet's radius fallswithin the range between that of smaller rocky planets and larger gas-richplanets. To assess the habitability of this planet, we present a series of 3Dglobal climate simulations assuming that K2-155d is tidally locked and has anEarth-like composition and atmosphere. We find that the planet can maintain amoderate surface temperature if the insolation proves to be smaller than $\sim1.5$ times that of the Earth. Doppler mass measurements, transit spectroscopy,and other follow-up observations should be rewarding, since K2-155 is one ofthe optically brightest M dwarfs known to harbor transiting planets.

K2-155: A Bright Metal-Poor M Dwarf with Three Transiting Super-Earths