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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationHard
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If (108=2^2\times3^3) and (180=2^2\times3^2\times5), what is the ratio of their LCM to HCF?

Answer and explanation

Correct answer: (15:1)

Step 1: HCF is (2^2\times3^2=36). Step 2: LCM is (2^2\times3^3\times5=540), so the ratio is (540:36=15:1). Step 3: Always reduce the ratio to its simplest form.

Related tags

Real-NumbersHcf-LcmRatioHcf 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)?
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  7. 7What will be the LCM of (45) and (75)?
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