Question

usando o decomposiçao em fatores primos determine
a]mmc[30,24]
b]mmc[14,35]
c]mmc[45,60]
d]mmc[18,20,24]
e]mmc[14,35,60,70,]

Answer 1

30-24|2
15-12|2
15- 6 |2
15- 3|3
  5- 1|5
   1-1 ____________
          2³ * 3 * 5 = 120

14-35|2
  7-35|5
  7 -7 |7
  1 - 1_________________
           2 * 5 * 7 = 70

45-60|2
45-30|2
45-15|3
15- 5 |3
 5-  5|5
 1- 1   ____________________
            2² * 3² * 5 = 180

18-20-24|2
  9-10-12|2
  9- 5-  6| 2
  9- 5-  3|3
  3- 5 - 1|3
  1- 5-  1|5
   1-1 - 1  __________________
                 2³ * 3² * 5 = 360

14-35-60-70|2
   7-35-30-35|2
   7-35-15-35|3
   7-35- 5-35 |5
   7-  7-  1-7  |7
   1 - 1 - 1- 1  ________________
                       2² * 3 * 5 * 7= 420

ESPERO TER AJUDADO, BONS ESTUDOS

 

Answer 2

a)

30,24: 2
15,12: 2
15,6: 2
15,3: 3
5,1: 5
1,1      =  2.2.2.3.5 = 2³.3.5 = 8.15 = 120
-------------------------------------------------------
b)

14,35: 2
7,35: 5
7,7: 7
1,1    = 2.5.7 = 10.7 = 70
------------------------------------------------------------
c)
45,60: 2
45,30: 2
45,15: 3
15,5: 3
5,5: 5
1,1          = 2.2.3.3.5 = 4.9.5 = 36.5 = 180
-----------------------------------------
d)
18,20,24: 2
9,10,12: 2
9,5,6: 2
9,5,3: 3
3,5,1: 3
1,5,1: 5
1,1,1      =   2.2.2.3.3.5 = 8.9.5 = 72.5 = 360

e)
14,35,60,70: 2
7,35,30, 35: 2
7,35,15, 35: 3
7,35,5,35: 5
7,7,1,7: 7
1,1,1,1        =  2.2.3.5.7 = 4.15.7 = 60.7 = 420