{a^3; b^2; c^4} d.p.{4;8;128} si a•b•c=32=2^5
a^3 /4=b^2 /8=c^4 /128=k
a^3=4k=2^2·k /ridicam la puterea a 4-a
b^2=8k=2^3·k /ridicam la puterea a 6-a
c^4=128k=2^7· k /ridicam la puterea a 3-a
=> a^12=2^8 ·k^4
b^12= 2^18· k^6
c^12=2^21· k^3
a•b•c=2^5 => a^12 •b^12 •c^12=2^60
2^8 ·k^4 • 2^18· k^6 •2^21 ·k^3=2^47 •k^13
=> 2^47 •k^13=2^60
k^13=2^60 :2^47
k^13=2^13 => k=2
=> a^3=2^3 => a=2
b^2=2^4=4^2=> b=4
c^4=2^8=4^4=> c=4
