The empirical relations between rotation period, chromospheric activity, and age can be used to estimate stellar age. To calibrate these relations, we present a catalog, including the masses and ages of 52321 FGK dwarfs, 47489 chromospheric activity index logR_HK_^+^, 6077 rotation periods Prot, and variability amplitudes S_ph_, based on data from LAMOST DR7, Kepler, and Gaia Data Release 3. We find a pronounced correlation among P_rot_, age, and [Fe/H] throughout the main-sequence phase for F dwarfs. However, the decrease of logR_HK_^+^ over time is not significant except for those with [Fe/H]{<}-0.1. For G dwarfs, both P_rot_ and logR_HK_^+^ are reliable age probes in the ranges ~2-11Gyr and ~2-13Gyr, respectively. K dwarfs exhibit a prominent decrease in logR_HK_^+^ within the age range of ~3-13Gyr when the relation of P_rot_-{tau} is invalid. These relations are very important for promptly estimating the age of a vast number of stars, thus serving as a powerful tool in advancing the fields of exoplanet properties, stellar evolution, and Galactic archeology.