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0580/11 May/Jun 2026, Question 16: HCF and LCM

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Non-calculator · 3 marks

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The question, in short

Buses to Alve leave every 16 minutes and to Riba every 28 minutes, with both departing together at 08 25. Find the next time both buses leave together.

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Solution · 3 marks

  1. 116 = 2⁴, 28 = 2² × 7
  2. 2LCM = 2⁴ × 7 = 112 minutes = 1 h 52 min
  3. 308 25 + 1 h 52 min = 10 17

Answer10 17

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