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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationHard
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Four signal lights flash at intervals of (12), (18), (27), and (36) seconds. They flash together now. After how many seconds will they flash together again?

Answer and explanation

Correct answer: (108)

Step 1: The next common flashing time is the LCM of all intervals. Step 2: (12=2^2\times3), (18=2\times3^2), (27=3^3), and (36=2^2\times3^2), so LCM (=2^2\times3^3=108). Step 3: Use LCM for repeated-time situations.

Related tags

Real-NumbersLcmTime-IntervalHcf And Lcm Using Prime FactorisationHcf Lcm Using Prime FactorisationReal NumbersMathematicsClass 10 Mcq
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10 more MCQs
  1. 1If the product of two numbers is 3780 and their LCM is 315, what is their HCF?
  2. 2What is the HCF of (18) and (24) using prime factorisation?
  3. 3What is the LCM of (18) and (24) using prime factorisation?
  4. 4What is the HCF of (40) and (60)?
  5. 5What is the LCM of (40) and (60)?
  6. 6What will be the HCF of (45) and (75)?
  7. 7What will be the LCM of (45) and (75)?
  8. 8Which is the HCF of (32) and (48)?
  9. 9Which is the LCM of (32) and (48)?
  10. 10What is the HCF of (27) and (36)?
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