Question

Află c.m.m.mc al fiecarui grup de numere:
a)36,16,48
b)8,24,36
ce)15,36,12
d)20\30,40
e)126,162,270
f)360,2700,630

Answer 1

a)36,16,48

36 = 4·9 = 2²·3²

16 = 4·4 = 2⁴

48 = 16·3=2⁴·3

se aleg  factorii comuni  la puterea ceea mai mica

c.m.m.d.c.(36 , 16 ,48) = 2² = 4  

b)8,24,36

8 = 2³

24 = 6· 4 = 2 ·3 · 2²= 2³ ·3

36 = 6 · 6 = 2²·3²

c.m.m.d.c (8,24, 36)= 2² = 4

c)15,36,12

15 =3 · 5

36 = 6 · 6 = 2²·3²

12 = 2² ·3

c.m.m.d.c (15, 36, 12)= 3

d)20, 30,40

20 = 2² · 5

30 = 2· 3 · 5

40 = 2³ ·5

c.m.m.d.c (20, 30, 40) = 2

e)126,162,270

126 = 2· 3²· 7

162 = 2 · 3⁴

270= 2 · 3³ · 5

c.m.m.d.c (126, 162, 270) = 2  · 3² = 2  · 9 = 18

f)360,2700,630

360 = 2³ · 3² · 5

630 = 2 · 3² · 5 · 7

2700 = 2² · 3³ · 5²

c.m.m.d.c (360, 2700, 630) = 2 · 3² · 5 = 90.