Question

Calculeaza c.m.m.d.c. si c.m.m.m.c. pentru numerele 120,280 si 440

Answer 1

120 = 12 * 10 = 4*3*2*5 = 2³ * 3 * 5
280 = 4*7*2*5=                 2³ *5 * 7
440 = 4*11*2*5 =              2³ * 5 * 11
------------------------------------------------
                     c.m.m.d.c.  = 2³×5 = 40     
                     c.m.m.m.c  = 2³×3×5×7×11 = 9240  

Answer 2

120|2×5
12 |2
6 |2
3 |3
1_____
120=2la puterea 3 × 3×5


280|2×5
28 |2
14 |2
7 | 7
1______
280=2 la puterea 3 ×5×7


440|2×5
44 |2
22 |2
11 |11
1_____
440=2 la puterea 3 ×5×11

C.m.m.d.c=2 la puterea a 3 ×5 = 8×5=40
C.m.m.m.c=2 la puterea 3 ×5×11×7×3=8×55×21=440×21=9240