Sebutkan KPK dan FPB dari bilangan berikut ini

Jawaban:

KPK dan FPB

KPK

Kelipatan persekutuan terkecil

caranya kalikan semua faktor yg ada

FPB

faktor persekutuan terbesar

caranya cari faktor yg sama pangkat terkecil

1. 12 dan 30

faktorisasi prima

12 = 2² × 3

30 = 2 × 3 × 5

Kpk = 2² × 3 × 5 = 60

fpb = 2 × 3 = 6

2. 25 dan 75

25 =5²

75 = 3 × 5²

kpk = 3 × 5² = 75

fpb = 5² = 25

3.36,42,dan 72

36 = 2² × 3²

42 = 2 × 3 × 7

72 = 2³× 3²

kpk = 2³ × 3² × 7 = 504

fpb = 2 × 3 = 6

4.)125,200, dan 250

125 = 5³

200 =2³ × 5²

250 =2 × 5³

kpk = 2³ × 5³ = 1000

fpb = 2 × 5² = 50

5. 40,60 ,dan 30

40 =2³ × 5

60 = 2² × 3 × 5

30 = 2 × 3 × 5

kpk = 2³ × 3 × 5 = 120

fpb = 2 × 3 × 5 = 30

6.) 13,36, dan 72

13 = 13

36 =2² × 3²

72 =2³ × 3²

kpk = 13 × 2³ × 3² = 936

7.) 14,21 dan 63

14 = 2 × 7

21 = 3 × 7

63 =3² × 7

kpk = 2 × 3² × 7 = 126

fpb = 7

8.) 60,80, dan 90

60 = 2² × 3 × 5

80 = 2⁴ × 5

90 =2 × 3² × 5

kpk = 2⁴ × 3² × 5 = 720

fpb = 2 × 5 = 10

9.)25,75, dan 150

25 = 5²

75 = 3 × 5²

150 =2 × 3 × 5²

kpk = 2 × 3 × 5² = 150

fpb = 5² = 25

10.) 42 ,84, dan 168

42 =2 × 3 × 7

84 =2² × 3 × 7

168 =2³ × 3× 7

kpk = 2³ × 3 × 7 =168

fpb = 2 × 3 × 7 = 42