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Class 10

HCF and LCM from Prime Factorisation, Quiz

Five questions on HCF and LCM from prime factorisations. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. 84=22×3×784 = 2^2 \times 3 \times 7 and 120=23×3×5120 = 2^3 \times 3 \times 5. What is HCF(84,120)\mathrm{HCF}(84, 120)?
  2. Using the same factorisations, what is LCM(84,120)\mathrm{LCM}(84, 120)?
  3. Which relation holds for any two positive integers aa and bb?
  4. HCF(72,108)=36\mathrm{HCF}(72, 108) = 36. Find LCM(72,108)\mathrm{LCM}(72, 108) without factorising.
  5. Two bells ring every 3636 minutes and every 4848 minutes. They ring together at 9:009{:}00 am. When do they next ring together?
Unanswered questions are marked wrong.

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