Question

A) mmc (14,10,21)
B) mmc (40,12,16)
C) mmc ( 8,6,18)
D) mmc (9,45,75)

me ajudem

Answer 1

HI !

A) mmc (14,10,21)

14 . 10 . 21 | 2
7 . 5 . 21 | 3
7 . 5 .7 | 5
1 . 7. 7 | 7
1 . 1. 1

M.M.C = 2 × 3 × 5 × 7 = 210

210 / 14 = 15

210 / 21 = 10

210 / 10 = 21

B) mmc (40,12,16)

40 . 12 . 16 | 2
20 . 6 . 8 | 2
10 . 3 .4 | 2
5 . 3 . 2 | 2
5 . 3 . 1 | 3
5 . 1 . 1 | 5
1 . 1 . 1

M.M.C = 2^(4) × 3 × 5 = 240

240/40 = 6

240/12 = 20

240/16 = 15

C) mmc ( 8,6,18)

8 . 6 . 18 | 2
4 . 3 . 9 | 2
2 . 3 . 9 | 2
1 . 3 . 9 | 3
1 . 1 . 3 | 3
1 . 1 . 1

M.M.C = 2^(3) × 3^(2) = 72

72/8 = 9

72/6 = 12

72/18 = 4

D) mmc (9,45,75)

9 . 45. 75 | 3
3 .15 . 25 | 3
1 . 5 . 25 | 5
1. 1 . 5 | 5
1 . 1 . 1

M.M.C = 3^ (2) × 5^(2) = 225

225/9 = 25

225/45 = 5

225/75 = 3

${ \times } Espero \ ter \ ajudado$
Bons estudos.
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