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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationEasyLevel 10

What is the LCM of (18) and (24) using prime factorisation?

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Answer and explanation

Correct answer: (72)

Step 1: (18=2\times3^2) and (24=2^3\times3). Step 2: Taking the highest powers of all prime factors gives (2^3\times3^2=72). Step 3: For LCM, include both common and uncommon prime factors.

Tags

real-numberslcmprime-factorisation

Frequently asked questions

What is the correct answer to this question?

(72)

Why is this the correct answer?

Step 1: (18=2\times3^2) and (24=2^3\times3). Step 2: Taking the highest powers of all prime factors gives (2^3\times3^2=72). Step 3: For LCM, include both common and uncommon prime factors.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.

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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 HCF of (40) and (60)?
  4. 4What is the LCM of (40) and (60)?
  5. 5What will be the HCF of (45) and (75)?
  6. 6What will be the LCM of (45) and (75)?
  7. 7Which is the HCF of (32) and (48)?
  8. 8Which is the LCM of (32) and (48)?
  9. 9What is the HCF of (27) and (36)?
  10. 10What is the LCM of (27) and (36)?
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