a:b=c si restul r iar a=b×c+r
x:10=c rest 8 =>x=10×c+8 adunam cu 2 =>x+2=10c+10=>x+2=10(c+1)
x:10=c rest 7 =>x=9×c+7 adunam cu 2=>x+2=9c+9=>x+2=9(c+1)
x:4=c rest 2 =>x=4×c+2 adunam cu 2=>x+2=4c+4=>x+2=4(c+1)
10=2×5
9=3²
4=2²
cmmmc=2²×3²×5=180
daca x+2=180=>x=180-2=>x=178
cel mai mic numar va fi 178
verificare:
178:10=17 rest 8
178:9=19 rest 7
178:4=44 rest 2
