Question

1) Find the LCM and HCF of the following numbers and check their relationship
(i) 15, 24 (ii) 8, 25 (iii) 12, 48 (iv) 30, 48

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Answer 1

Step-by-step explanation:

i) 15 = 3×5

24 = 2×2×2×3

LCM = 3×5×2×2×2 = 120

HCF = 3

• 15 × 24 = 120 × 3

360 = 360

ii) 8 = 2×2×2

25 = 5×5

LCM = 2×2×2×5×5 = 200

HCF = 1

• 8 × 25 = 200 × 1

200 = 200

iii) 12 = 2×2×3

48 = 2×2×2×2×3

LCM = 2×2×2×2×3 = 48

HCF = 2×2×3 = 12

• 12 × 48 = 12× 48

12 × 48 = 12× 48 576 = 576

iv) 30 = 2×3×5

48 = 2×2×2×2×3

LCM = 2×2×2×2×3×5 = 240

HCF = 2×3 = 6

• 30 × 48 = 240 × 6

1440 = 1440

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