14=2*7
21=3*7
35=5*7
cmmmc=2*3*5*7=210
nr este 210+6=216
12=2²*3
15=3*5
27=3³
cmmmc=2² * 3³ *5=540
nr este 540+3=543
3.x:12=a rest 5
x=M₁₂ +5
x=M₁₂+12-7
x=M₁₂ -7
x:15=b rest 8
x=M₁₅ +8
x=M₁₅ +15-7
x=M₁₅-7
x=[M₁₂;M₁₅]-7
12=2² *3
15=3 *5
cmmmc=2²*3*5
x=2² *3 *5 -7
x=4*15-7
x=60-7
x=53
Observam ca 12 - 5 = 7 si 15 - 8 = 7
=> numarul cautat este cmmmc (12, 15) - 7
12 = 2² * 3
15 = 3 *5
cmmmc = 2² * 3 *5=4*15=60
60- 7 =53
verificare :
53 : 12 = 4 rest 5
53 : 15 = 5 rest 8
Observam ca 24 - 10 = 14 si 36 - 22 = 14
=> numarul cautat este cmmmc (24, 36) - 14
24 = 2³ * 3
36 = 2² * 3²
cmmmc=2³ * 3² =72
72- 14 = 58
Verificare
58 : 24 = 2 rest 10
58 : 36 = 1 rest 22