This question (and variants) crops up periodically.. as often is the case, a search will bring up the history.
This thread has enough of the story for the purpose at hand ..
Suggest you don't fuss too much about the previous answers - the boys appear to have gone off at a bit of a tangent. Certainly, one can use temperature to facilitate LSS and TAS calculations to end up with Mach number but you don't need to do so - temperature,
per se, has naught to do with Mach Number - LSS and TAS, yes, but not M. Indeed, have a CLOSER look at what you are doing on the Jepp and it should become a bit clearer that CAS and Hp produce M as the underlying thing being done.
Mach number depends on static and dynamic pressures, think flight level and CAS .. in effect, the machmeter is just a fancy ASI with some extra internal bells and whistles.
Likewise, a search for information on "Ace the .." should give you a picture regarding that document ...