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x:12=c rest 11 ⇒ x=12c+11 ⇒x+1=12c+12
x:15=c rest 14 ⇒x=15c+14 ⇒x+1=15c+14
x+1∈M[8,12,15]
8=2³
12=2²·3
15=5·3
[8,12,15]=2³·3·5=120
M120={120,240,360,480.....}
x+1=120
x=120-1
x=119
119:8=14 rest 7
119:12=9 rest 11
119:15=7 rest 14
deci cel mai mic nr.este 119