Read C.F. Gauss' method for calculating Easter by the CRT. Modular arithmetic, and indeterminate equations are generalized by the fundamental theorem of arithmetic, that all remainders can be expressed as a rational number composed with prime numbers.
My friend Bruce Friedman has been reading the CRT for 5 years and still has not mastered its subtle, and simple number theory power.
Following GAUSS' WORDS IN GERMAN SHOULD BE EASIER FOR YOU.
Mayans forced all planetary cycles to coincide in a Great Year ... well beyond the one discussed in the 2012 myth ... I suspect the largest Mayan Great year was twice the length of the earth's 26,000 year wobble, around 52,000 years, though I have not seen a proof published.