0580/12 Feb/Mar 2022, Question 24: HCF and LCM
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 2 marks
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The question, in short
Find two whole numbers above 6 whose LCM is 90 and HCF is 6.
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Solution · 2 marks
- 190 = 2 × 3 × 3 × 5 and both numbers are multiples of 6
- 218 = 2 × 3 × 3, 30 = 2 × 3 × 5
- 3HCF(18, 30) = 2 × 3 = 6, LCM = 2 × 3 × 3 × 5 = 90
- 4The numbers are 18 and 30
Answer18 and 30
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