Question

cel mai mic multiplu comun al numerelor:
1) 2,4,8
2) 4,6,12
3) 24,48,72
4) 90,100,300
5) 112,252

repede va rog​

Answer 1

Răspuns:

$1)2 =2 \\ 4 = {2}^{2} \\ 8 = {2}^{3} \\ c.m.m.m.c = {2}^{3} = 8 \\ \\ 2)4 = {2}^{2} \\ 6 = 2 \times 3 \\ 12 = {2}^{2} \times 3 \\ c.m.m.m.c = {2}^{2} \times 3 =4 \times3 = 12 \\ \\ 3)24 = {2}^{3} \times 3 \\ 48 = {2}^{4} \times 3 \\ 72 = {2}^{3} \times {3}^{2} \\ c.m.m.m.c = {2}^{4} \times {3}^{2} = 16 \times 9 = 144 \\ \\ 4)90 =2 \times {3}^{2} \times 5 \\ 100 = {2}^{2} \times {5}^{2} \\ 300 = {2}^{2} \times 3 \times {5}^{2} \\ c.m.m.m.c = {2}^{2} \times {3}^{2} \times {5}^{2} = 4 \times 9 \times 25 = 36 \times 25 = 900 \\ \\ 5)112 = {2}^{4} \times 7 \\ 252 = {2}^{2} \times {3}^{2} \times 7 \\ c.m.m.m.c = {2}^{4} \times {3}^{2} \times 7 = 16 \times 9 \times 7 = 144 \times 7 = 1008$

sper că te-am ajutat!