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Subjects
Class 10MathematicsReal NumbersFundamental Theorem of ArithmeticHardLevel 6
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The HCF of two numbers is 72 and their LCM is 2520. If one number is 360, what is the other number?

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Answer and explanation

Correct answer: 504

Step 1: Product of the two numbers is (72\times2520=181440). Step 2: The other number is (181440\div360=504). Step 3: To check, the HCF of 360 and 504 is 72.

Related tags

Hcf-Lcm-RelationMissing-NumberHard

Frequently asked questions

What is the correct answer to this question?

504

Why is this the correct answer?

Step 1: Product of the two numbers is (72\times2520=181440). Step 2: The other number is (181440\div360=504). Step 3: To check, the HCF of 360 and 504 is 72.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Fundamental Theorem of Arithmetic.

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  1. 1According to the Fundamental Theorem of Arithmetic, every composite number can be written in which form?
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  3. 3What is the correct prime factorisation of 60?
  4. 4What does uniqueness mean in the Fundamental Theorem of Arithmetic?
  5. 5In the prime factorisation of 84, what is the power of 2?
  6. 6The number (2^3\times3^2) is equal to which number?
  7. 7Which is the prime factorisation of 45?
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