Question

mmc (20, 15, 25)
mmc (30, 48, 120)
mmc (20, 30, 150)
mmc (60, 35, 48)
mmc (100, 200, 300)
mmc (12, 18, 36, 40)

POR FAVOR ME AJUDEM!!!

MMC= Minimo Múltiplo Comum

Answer 1

Olá.
O MMC leva-se em conta os fatores comuns e não comuns de maiores expoentes.
a) MMC (20,15,25)
20,15,25/2
10,15,25/2
5,15,25/3
5,5,25/5
1,1,5/5
1,1,1
MMC = 2.2.3.5.5 = 300
b) MMC (30,48,120)
30,48,120/2
15,24,60/2
15,12,30/2
15,6,15/2
15,3,15/3
5,1,5/5
1,1,1
MMC = 2.2.2.2.3.5 = 240
c) MMC (20,30,150)
20,30,150/2
10,15,75/2
5,15,75/3
5,5,25/5
1,1,5/5
1,1,1
MMC = 2.2.3.5.5 = 300
d) MMC (60,35,48)
60,35,48/2
30,35,24/2
15,35,12/2
15,35,6/2
15,35,3/3
5,35,1/5
1,7,1/7
1,1,1
MMC = 2.2.2.2.3.5.7 = 1.680
e) MMC (100,200,300)
100,200,300/2
50,100,150/2
25,50,75/2
25,25,75/3
25,25,25/5
5,5,5/5
1,1,1
MMC = 2.2.2.3.5.5 =  600
f) MMC (12,18,36,40)
12,18,36,40/2
6,9,18,20/2
3,9,9,10/2
3,9,9,5/3
1,3,3,5/3
1,1,1,5/5
1,1,1,1
MMC = 2.2.2.3.3.5 = 360

Espero ter ajudado.

Answer 2

20,15,25/2
10,15,25/2
 5 ,15,25/3
 5,  5,25/5
  1, 1,5 /5
  1 ,1,1
MMC = 2² * 3 * 5² = 4 * 3 * 25 = 300  ****

b

30, 48, 120 /2
15 , 24, 60/2
 15, 12, 30/2
 15 ,  6,15,/2
 15,  3,  5/ 3
   5    1  5/5
    1 , 1,1
mmc  2^4  * 3 * 5 = 16 * 15 = 240 *****

c
20, 30, 150 /2
10, 15,  75 /2
  5,  15, 75/3
  5,   5,  25/5
  1,  1,   5/5
   1,  1 ,1
mmc =2² * 3 * 5² = 4 * 3 * 25 = 12 * 25 = 300 ****
d

60, 35, 48 /2
30, 35, 24/2
15, 35, 12/2
 15,35, 6 /2
 15, 35,3/3
   5, 35,1/5
   1, 7  1/7
    1  1  1
mmc = 2^4   * 3 * 5 * 7 = 16 * 15 * 7 = 1 680 ****

d
100, 200, 300 / 2
  50, 100, 150/2
  25,  50,  75/ 2
  25,  25,  75/3
  25, 25,  25/5
    5,   5,   5/5
     1   1    1

mmc = 2³ * 3 * 5²  = 8 * 3  * 25 =  24 * 25 = 600 *****
e
12, 18, 36, 40 /2
  6   9,  18, 20/2
  3 , 9,   9,  10/2
  3,  9,   9,   5/3
   1,  3,  3,   5/3
    1, 1,   1,  5/5
     1,  1   1, 1

mmc = 2³ * 3² * 5 = 8 * 9 * 5 = 360 *****

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