Question

¿ Cual es el mcm de :

26 y 39
4, 8 y 16
2, 4 y 8
5, 15 60
10, 11 y 15
21, 2 y 49
5, 4 y 6
12, 16 y 18
50, 40 y 60
60, 90 y 120
2 y 6
5 y 10
12 y 4
8 y 24
7 y 49
8 y 12

Answer 1

MCM 26 y 39

26| 2
13| 13
1 |

39| 3
13|13
1 |

Factores primos de 26 = 2 × 13
Factores primos de 39 = 3 × 13
MCM 26 y 39 = 2 × 13 × 3 = 78

MCM 4, 8 y 16

4 | 2
2 | 2
1 |

8| 2
4| 2
2| 2
1|

16| 2
8 | 2
4 | 2
2 | 2
1 |

Factores primos de 4 = 2 × 2
Factores primos de 8 = 2 × 2 × 2
Factores primos de 16 = 2 × 2 × 2 × 2
MCM de 4, 8 y 16 = 2 × 2 × 2 × 2 = 16


MCM 2, 4 y 8

2 | 2
1 |

4 | 2
2 | 2
1 |

8 | 2
4 | 2
2 | 2
1 |

Factores primos de 2 = 2
Factores primos de 4 = 2 × 2
Factores primos de 8 = 2 × 2 × 2
MCM de 2, 4 y 8 = 2 × 2 × 2 = 8

MCM 5, 15 y 60

5 | 5
1 |

15 | 3
5 | 5
1 |

60 | 2
30 | 2
15 | 3
5 | 5
1 |

Factores primos de 5 = 5
Factores primos de 15 = 3 × 5
Factores primos de 60 = 2 × 2 × 3 × 5
MCM de 5, 15 y 60 = 2 × 2 × 3 × 5 = 60.

MCM 10, 11 y 15

10 | 2
5 | 5
1 |

11 | 11
1 |

15 | 3
5 | 5
1 |

Factores primos de 10= 2 × 5
Factores primos de 11 = 11
Factores primos de 15 = 5 × 3
MCM de 10, 11 y 15 = 2 × 5 × 11× 3 = 330.

MCM 21, 2 y 49

21 | 3
7 | 7
1 |

2 | 2
1 |

49 | 7
7 | 7
1

Factores primos de 21 = 3 × 7
Factores primos de 2 = 2
Factores primos de 49 = 7 × 7
MCM de 21, 2 y 49 = 7 × 7 × 2 × 3 = 294.

MCM 5, 4 y 6

5 | 5
1 |

4 | 2
2 | 2
1 |

6 | 2
3 | 3
1 |

Factores primos de 5 = 5
Factores primos de 4 = 2 × 2
Factores primos de 6 = 2 × 3
MCM de 5, 4 y 6 = 2 × 2 × 3 × 5 = 60

MCM 12, 16 y 18

12 | 2
6 | 2
3 | 3
1 |

16 | 2
8 | 2
4 | 2
2 | 2
1 |

18 | 2
9 | 3
3 | 3
1 |

Factores primos de 12 = 2 × 2 × 3
Factores primos de 16 = 2 × 2 × 2 × 2
Factores primos de 18 = 2 × 3 × 3
MCM de 12, 16 y 18 = 2 × 2 × 2 × 2 × 3 × 3 = 144.

MCM 50, 40 y 60

50 | 2
25 | 5
5 | 5
1 |

40 | 2
20 | 2
10 | 2
5 | 5
1 |

60 | 2
30 | 2
15 | 3
5 | 5
1 |

Factores primos de 50 = 2 × 5 × 5
Factores primos de 40 = 2 × 2 × 2 × 5
Factores primos de 60 = 2 × 2 × 3 × 5
MCM de 50, 40 y 60 = 2 × 2 × 2 × 3 × 5 × 5 = 600

MCM 60, 90 y 120

60 | 2
30 | 2
15 | 3
5 | 5
1 |

90 | 2
45 | 3
15 | 3
5 | 5
1 |

120| 2
60 | 2
30 | 2
15 | 3
5 | 5
1 |

Factores primos de 60 = 2 × 2 × 3 ×5
Factores primos de 90 = 2 × 3 × 3 × 5
Factores primos de 120 = 2 × 2 × 2 × 3 × 5
MCM de 60, 90 y 120 = 2 × 2 × 2 × 3 × 3 × 5 = 360.

MCM 2 y 6

2 | 2
1 |

6 | 2
3 | 3
1 |

Factores primos de 2 = 2
Factores primos de 6 = 2 × 3
MCM de 2, 6 = 2 × 3 = 6


MCM 5 y 10

5 | 5
1 |

10 | 2
5 | 5
1 |

Factores primos de 5 = 5
Factores primos de 10 = 2 × 5
MCM de 5 y 10 = 5 × 2 = 10


MCM 12 y 4

12 | 2
6 | 2
3 | 3
1 |

4 | 2
2 | 2
1 |

Factores primos de 12 = 2 × 2 × 3
Factores primos de 4 = 2 × 2
MCM de 12 y 4 = 2 × 2 × 3= 12

MCM 8 y 24

8 | 2
4 | 2
2 | 2
1 |

24 | 2
12 | 2
6 | 2
3 | 3
1 |

Factores primos de 8 = 2 × 2 × 2
Factores primos de 24 = 2 × 2 × 2 × 3
MCM de 8 y 24 = 2 × 2 × 2 × 3 = 24

MCM 7 y 49

7 | 7
1

49 | 7
7 | 7
1 |

Factores primos de 7 = 7
Factores primos de 49 = 7 × 7
MCM de 7 y 49 = 7 × 7 = 49

MCM 8 y 12

8 | 2
4 | 2
2 | 2
1 |

12 | 2
6 | 2
3 | 3
1 |

Factores primos de 8 = 2 × 2 × 2
Factores primos de 12 = 2 × 2 × 3
MCM de 8 y 12 = 2 × 2 × 2 × 3 = 24