Question

a) 12 si 5
b)9 si 12
c)21 28 si 35
d)144 si 108
e)96 si144
aflati cel mai mic multiplu comun al numerelor

Answer 1

Descompunem fiecare numar in numere prime dupa care se iau toate numerele prime la puterea cea mai mare

• inseamna ori
c.m.m.m.c=cel mai mic multiplu comun

a) 12=2 la puterea 2•3
5=5
c.m.m.m.c=2 la puterea 2•3•5=60

b)9=3 la puterea 2
12=2 la puterea 2•3
c.m.m.m.c=2 la puterea 2•3 la puterea 3=36

c)21=3•7
28=2 la puterea 2•7
35=5•7
c.m.m.m.c=3•2 la puterea 2•5=60

d)144=2 la puterea 4•3 la puterea 2
108=2 la puterea 2•3 la puterea 3
c.m.m.m.c=2 la puterea 4•3 la puterea 3=432

e)96=2 la puterea 5•3
144=2 la puterea 4•3 la puterea 2
c.m.m.m.c=2 la puterea 5•3 la puterea 2=288