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If the LCM of two numbers is 60 and their HCF is 4, what is the product of the t

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Question: If the LCM of two numbers is 60 and their HCF is 4, what is the product of the two numbers? (2023)

Options:

  1. 240
  2. 120
  3. 300
  4. 180

Correct Answer: 240

Exam Year: 2023

Solution: 

The product of two numbers is equal to the product of their LCM and HCF. Therefore, 60 * 4 = 240.

If the LCM of two numbers is 60 and their HCF is 4, what is the product of the t

Practice Questions

Q1
If the LCM of two numbers is 60 and their HCF is 4, what is the product of the two numbers? (2023)
  1. 240
  2. 120
  3. 300
  4. 180

Questions & Step-by-Step Solutions

If the LCM of two numbers is 60 and their HCF is 4, what is the product of the two numbers? (2023)
  • Step 1: Understand that LCM stands for Least Common Multiple and HCF stands for Highest Common Factor.
  • Step 2: Remember the relationship between LCM, HCF, and the product of two numbers: Product of two numbers = LCM * HCF.
  • Step 3: Identify the given values: LCM = 60 and HCF = 4.
  • Step 4: Substitute the values into the formula: Product = 60 * 4.
  • Step 5: Calculate the product: 60 * 4 = 240.
  • Step 6: Conclude that the product of the two numbers is 240.
  • LCM and HCF Relationship – The product of two numbers is equal to the product of their Least Common Multiple (LCM) and Highest Common Factor (HCF).
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