Hmmm new2listener, one of the not-universally popular numerics is a bold place to start, though this one is kinder than most. I stumbled along at first, mainly through a refusal to use a calculator, but eventually succombed and it came together very easily in the end (despite a late trip when I could not read my own writing).
Midazolam & Cruciverbalist give you a good kick start - I started that way, and the first value which emerged was for M whose clue uses those 'common' numbers. It also follows that you can identify from the only-across and only-down letters a limited number of numeric options for each set, which again should help. Good luck.
Can I just add my congratulations to Brimstone for a puzzle which in retrospect is quite stunning. Realisation of the title's double significance just adds icing to a numeric treat full of real words and stuffed with some admirable thematic content. Bravo!