Question

Find the LCM of the following numbers by the prime-factorisation method :
(a) 80, 108
(b) 85, 119
(c) 144, 180
(d) 45, 105, 165
(e) 180, 144, 384
(f) 108, 135, 16
2025
2
A​

Answer 1

Step-by-step explanation:

a) 80 = 2 × 2 × 2 × 2 × 5

108 = 2 × 2 × 3 × 3 × 3

LCM = 2 × 2 × 2 × 2 × 5 × 3 × 3 × 3 = 2160

b) 85 = 5 × 17

119 = 7 × 17

LCM = 7 × 5 × 17 = 595

c) 144 = 2 × 2 × 2 × 2 × 3 × 3

180 = 2 × 2 × 3 × 3 × 5

LCM = 2 × 2 × 2 × 2 × 3 × 3 × 5 = 720

d) 45 = 3 × 3 × 5

105 = 3 × 5 × 7

165 = 3 × 5 × 11

LCM = 3 × 3 × 5 × 7 × 11 = 3,465

e) 180 = 2 × 2 × 3 × 3 × 5

144 = 2 × 2 × 3 × 2 × 2 × 3

384 = 2 × 2 × 3 × 2 × 2 × 2 × 2 × 2 =

LCM = 2⁷ × 3² × 5¹ = 5760

Answer 2

Answer:

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