Question

Se:
A= 2¹×3×5 = ?
B= 2×3²×7
C= 2×3³×11

Determine:
a) m.m.c (A,B) =
b) m.m.c (A,C) =
c) m.m.c (A,B,C) =


Me ajudem por favor
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Answer 1

Resposta:

Olá,

→ A = 2¹ × 3 × 5

→ A = 2 × 3 × 5

→ A = 6 × 5

→ A = 30

→ B = 2 × 3² × 7

→ B = 2 × 9 × 7

→ B = 18 × 7

→ B = 126

→ C = 2 × 3² × 11

→ C = 2 × 9 × 11

→ C = 18 × 11

→ C = 198

› a) mmc (A, B) = 630

30, 126 | 2

15, 63 | 3

5, 21 | 3

5, 7 | 5

1, 7 | 7

1, 1 | 1

MMC = 2 × 3² × 5 × 7 = 630

› b) mmc (A, C) = 990

30, 198 | 2

15, 99 | 3

5, 33 | 3

5, 11 | 5

1, 11 | 11

1, 1 | 1

MMC = 2 × 3² × 5 × 11 = 990

› c) mmc (A, B, C) = 6930

30, 126, 198 | 2

15, 63, 99 | 3

5, 21, 33 | 3

5, 7, 11 | 5

1, 7, 11 | 7

1, 1, 11 | 11

1, 1, 1 | 1

MMC = 2 . 3² . 5 . 7 . 11 = 6930

Ω | Ass: Fallen Angel | Ω

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Espero ter ajudado!