Question

Find the LCM of these numbers using prime factorisation. a 16, 24 b 18, 20 c 10, 18 d 15,35 e 25, 30 f 18,32 g 10, 15, 20 h 16, 12, 32​

Answer 1

Answer:

a. 48

b. 180

c. 90

d. 105

e. 150

f. 288

g. 60

h. 96

Step-by-step explanation:

a.

16 = 2 × 2 × 2 × 2

24 = 2 × 2 × 2 × 3

LCM = 2 × 2 × 2 × 2 × 3   =   8 × 6   =   48

b.

18 = 2 × 3 × 3

20 =  2 × 2 × 5

LCM = 2 × 2 × 5 × 3 × 3   =   2 × 90   =   180

c.

10 = 2 × 5

18 = 2 × 3 × 3

LCM = 2 × 5 × 3 × 3   =   2 × 45   =   90

d.

15 = 3 × 5

35 = 3 × 7

LCM = 3 × 5 × 7   =   3 × 35   =   105

e.

25 = 5 × 5

30 = 2 × 3 × 5

LCM = 5 × 2 × 3 × 5   =   5 × 30   =   150

f.

18 = 2 × 3 × 3

32 = 2 × 2 × 2 × 2 × 2

LCM = 2 × 2 × 2 × 2 × 2 × 3 × 3   =   2 × 4 × 4 × 9   =   2 × 16 × 9   =   2 × 144   =   288

g.

10 = 2 × 5

15 = 3 × 5

20 = 2 × 2 × 5

LCM = 2 × 5 × 2 × 3   =   10 × 6   =   60

h.

12 = 2 × 2 × 3

16 = 2 × 2 × 2 × 2

32 = 2 × 2 × 2 × 2 × 2

LCM = 2 × 2 × 2 × 2 × 2 × 3   =   4 × 4 × 6   =   4 × 24   =   96

I hope you got what you were looking for.

PS: I solved this while eating custard apple.