Question

Determine: a)mmc (15,18) b)mmc (54,81,90) b)mmc(4,8,12,16,)

Answer 1

a) MMC (15,18) = 90
15 = [15, 30, 45, 60, 75, 90, ...]
18 = [18, 36, 54, 72, 90, ...] 

b) MMC (54, 81, 90) = 810
54, 81, 90 | 2
27, 81, 45 | 3
09, 27, 15 | 3
03, 09, 05 | 3
01, 03, 05 | 3
01, 01, 05 | 5
01, 01, 01 | 810

c) MMC (4,8,12,16) = 48
04, 08, 12, 16 | 2
02, 04, 06, 08 | 2
01, 02, 03, 04 | 2
01, 01, 03, 02 | 2
01, 01, 03, 01 | 3
01, 01, 01, 01| 48

Answer 2

A)
15, 18  | 2
15, 9   | 3
5,  3   | 3
5,  1  | 5
1,  1

Multiplicamos: 2 x 3 x 3 x 5 = 90
MMC = ( 15, 18 ) = 90
                                         

B)
54, 81, 90    | 2
27, 81, 45   | 3
9,  27, 15    | 3
3,   9,   5   | 3
1,  3,   5   | 3
1,  1,   5  | 5
1,  1,  1

Multiplica: 2 x 3 x 3 x 3 x 3 x 5 = 810
MMC = (54, 81, 45 ) = 810
                                          

C)
4, 8, 12, 16  | 2
2, 4, 6,  8   | 2
1, 2, 3, 4   | 2
1, 1, 3, 2  | 2
1, 1, 3, 1 | 3
1, 1, 1, 1

Multiplicamos: 2 x 2 x 2 x 2 x 3 = 48
MMC = ( 4, 8, 12, 16 ) = 48