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We present homogeneous multiband (grizJHKs) time-series observations of 78Cepheids including 49 fundamental mode variables and 29 first-overtone modevariables. These observations were collected simultaneously using the ROS2 andREMIR instruments at the Rapid Eye Mount telescope. The Cepheid sample covers alarge range of distances (0.5 - 19.7 kpc) with varying precision of parallaxes,and thus astrometry-based luminosity fits were used to derive PL and PWrelations in optical Sloan (griz) and near-infrared (JHKs) filters. Theseempirically calibrated relations exhibit large scatter primarily due to largeruncertainties in parallaxes of distant Cepheids, but their slopes agree wellwith those previously determined in the literature. Using homogeneoushigh-resolution spectroscopic metallicities of 61 Cepheids covering -1.1 <[Fe/H] < 0.6 dex, we quantified the metallicity dependence of PL and PWrelations which varies between $-0.30\pm0.11$ (in Ks) and $-0.55\pm0.12$ (in z)mag/dex in grizJHKs bands. However, the metallicity dependence in the residualsof the PL and PW relations is predominantly seen for metal-poor stars ([Fe/H] <-0.3 dex), which also have larger parallax uncertainties. The modest samplesize precludes us from separating the contribution to the residuals due toparallax uncertainties, metallicity effects, and reddening errors. While thisCepheid sample is not optimal for calibrating the Leavitt law, upcomingphotometric and spectroscopic datasets of the C-MetaLL survey will allow theaccurate derivation of PL and PW relations in the Sloan and near-infraredbandpasses, which will be useful for the distance measurements in the era ofthe Vera C. Rubin Observatory's Legacy Survey of Space and Time and upcomingextremely large telescopes.

Cepheid Metallicity in the Leavitt Law (C-MetaLL) Survey. V. New multiband (grizJHKs) Cepheid light curves and period-luminosity relations