Yup, you are sort of mixing issues.
K frames. You MIGHT have any K frame in the "Kar" from 67 to 76 because any will fit. That is, "they" might have removed a /6 K and put in a 67 V8 K because they got one cheap. Jus sayin.
So go here and find out.........
http://www.engine-swaps.com/
Tech info, engine ID and K member guide
http://www.engine-swaps.com/Pages/TechInfo.html
and destructions if you have their swap mounts for the /6 to V8 swap mounts:
http://www.engine-swaps.com/Pages/Instructions.html
So general about K members:
67--76 K members all bolt under the bodies
67 have unique idler arms you don't want them
Slant 6 have different mounts, so if you install a V8 in a /6 K, you need "conversion" swap mounts as from the people above, or else get a V8 K
V8 K's from 67 to 72 have the older inferior "biscuit" engine mounts
73 and later K members have the superior "spool" mounts which are not only better but cheaper to get engine mounts.
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Engine balance
First, split into LA and Magnum. Magnum and LA engines are balanced differently. That is, 360 LAs are externally balanced, but they are also weighted differently than 5.9 Magnums.
So in LA series, FACTORY was originally weighted by balancers and by flywheels and converters.
SOME LA engines are internally neutral balanced, IE forged crank 273, 318, 340. Some cast crank 318, 340 are slight external balance, all 360 are external balance. All these mentioned are different FROM EACH OTHER
when swapping, you need to keep a proper balancer, or buy a proper aftermarket balancer
AND either keep a proper factory converter or aftermarket weighted converter OR buy a weighted aftermarket flex plate from places like B&M
or if a stick, buy a proper balanced or weighted flywheel if a stick
This gets sticky if you are buying some built engine, crate, custom stroker, etc...... make SURE you get proper documentation on the engine you buy, so you know what you are getting!!!!