Question

Find the L.C.M. using prime factorisation method:
i) 84,144 ii) 48,108,180

Answer 1

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Answer 2

Answer:

84 = 2 × 7 × 2 × 3 = 2² × 7 × 3

144 =6 × 2 × 6 × 2 = 2⁴ × 3²

1) LCM of 84 ,144 = 2⁴ × 3² × 7 = 1008

48 = 8 × 6 = 2³ × 2 × 3 = 2⁴ × 3

108 = 12 × 9 = 2 × 2 ×3 ×3² = 2² × 3³

180 = 6 × 30 = 2× 3× 3 × 2 × 5 = 2² × 3² × 5

2) LCM of 48,108, 180 = 2⁴ × 3³ × 5 = 2160

Step-by-step explanation:

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