Question

Find the LCM by the method of prime factorization a)108,124 b)16,20 c)20,40 d)6,15 e)12,16 f)32,40 g)8,9 h)8,12 I)15,25,35 j)8,12,30 k)60,30,15 L)4,20,30, m)11,12,13 n)7,14,21 o)15,20,25​

Answer 1

Answer:

a) LCM (108,124) = 2 × 2 × 3 × 3 × 3 × 31

= 4 × 27 × 31

= 3348

b) LCM (16,20) = 2 × 2 × 2 × 2 × 5

= 4 × 4 × 5 = 80

c) LCM (20,40) = 2 × 2 × 2 × 5

= 8 × 5 = 40

d) LCM (6,15) = 3 × 2 × 5 = 30

e) LCM (12,16) = 2 × 2 × 2 × 2 × 3

= 4 × 4 × 3 = 48

f)LCM (32,40) = 2 × 2 × 2 × 2 × 2 × 5

= 4 × 8 × 5 = 160

g) LCM (8,9) = 2 × 2 × 2 × 3 × 3

= 8 × 9 = 72

h) LCM (8,12) = 2 × 2 × 2 × 3

= 8 × 3 = 24

i) LCM (15,25,35) = 5 × 5 × 3 × 7

= 25 × 21 = 525

j) LCM (8,12,30) = 2 × 2 × 2 × 3 × 5

= 8 × 15 = 120

k) LCM (60,30,15) = 2 × 2 × 5 × 3

= 4 × 15 = 60

l) LCM (4,20,30) = 2 × 2 × 5 × 3

= 4 × 15 = 60

m) LCM (11,12,13) = 2 × 2 × 3 × 11 × 13

= 4 × 33 × 13 = 1716

n) LCM (7,14,21) = 7 × 2 × 3 = 7 × 6 = 42

o) LCM (15,20,25) = 5 × 5 × 3 × 2 × 2

= 25 × 3 × 4 = 300

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