mmc quero os cauculos por favor
a)10,15
b)10,14,22
c)182,120
d)125,155
e)20,25
f)14,20,34
g)310,450
h)18,22
i)135,165
j)16,20,36
k)310,500
l)45,50,60
m) 130,140
Respostas
Resposta:
a) = 30
b) = 770
c)= 10920
d) = 3875
e) = 100
f) = 2380
g) = 13950
h) = 198
i) = 1485
j) = 720
k) = 15500
L) = 900
m= 1820
Explicação passo-a-passo:
Fatorando.
a)10,15
10/2
5/5
1..........................10 = 2*5
15/3
5/5
1.........................15= 3*5
Fatores comuns e não comuns maiores expoentes onde MMC de
10,15 = 2*3*5 =30.
===========================================
b)10,14,22
10/2
5/5
1.................................10 = 2*5
14/2
7/7
1...............................14 = 2/7
22/2
11/11
1.......................................22 = 2*11
MMC 10, 14 e 22 = 2*5*7*11 = 770
=================================
c) 182,120
182/2
91/7
13/13
1.....................................182 = 2*7*13
120/2
60/2
30/2
15/3
5/5
1...................................120 = 2³*3*5
MMC 182 e 120 = 2³*3*5*7*13 = 10920
==============================
d)125,155
125/5
25/5
5/5
1..........................125 = 5³
155/3
31/31
1.............................155 = 5*31
MMC 125, 155 = 5³*31 = 3875
==============================
e)20,25
20/2
10/2
5/5
1..........................20 = 2²*5
25/5
5/5
1 ............................ 25 = 5²
MMC 20, 25 = 2²*5² = 100
==================
f)14,20,34
14/2
7/7
1...............................14 = 2/7
20/2
10/2
5/5
1..........................20 = 2²*5
34/2
17/17
1............................34 = 2*17
MMC 14, 20 e 34) = 2²*5*7*17 = 2380
==================
g)310,450
310/2
155/5
31/31
1............................. 310= 2*5*31
450/2
225/3
75/3
25/5
5/5
1.....................450 = 2*3²*5²
MMC 310 e 450 = 2*3²*5²*31 = 13950
================
h)18,22
18/2
9/3
3/3
1.......................18= 2*3²
22/1
11/11
1 ................22= 2*11
MMC de 18,22 = 2*3²*11 = 198
===========
i)135,165
135/3
45/3
15/3
5/5
1.....................135 = 3³*5
165/3
55/5
11/11
1...........................165 = 3*5*11
135 e 165 MMC = 3³*5*11 = 1485
=====================
j)16,20,36
16/2
8/2
4/2
1 .....................16 =2⁴
20/2
10/2
5/5
1..........................20 = 2²*5
36/2
18/2
9/3
3/3
1 ......................36 =2²*3²
16, 20 e 36 = 2⁴*3²5 = 720
==============
k)310,500
310/2
155/5
31/31
1............................. 310= 2*5*31
500/2
250/2
125/5
25/5
5/5
1 .........................500 = 2²*5³
MMC de 310 e 500 = 2²*5³*31 = 15500
=====================
l)45,50,60
45/3
15/3
5/5
1........................45 = 3²*5
50/2
25/5
5/5
1...................... 50 = 2*5²
60/2
30/2
15/3
5/5
1 ................ 60 = 2²*3*5
45,50 e 60 = 2²*3²*5²= 900
==================
m) 130,140
130/2
65/5
13/13
1...................... 130 = 2*5*13
140/2
70/2
35/5
7/7
1.................. 140 = 2²*5*7
MMC de 130 e 140 = 2²5*7*13 = 1820