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If the LCM of two numbers is 120 and their HCF is 5, what is the product of the

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Question: If the LCM of two numbers is 120 and their HCF is 5, what is the product of the two numbers? (2023)

Options:

  1. 600
  2. 1200
  3. 240
  4. 300

Correct Answer: 600

Exam Year: 2023

Solution: 

The product of two numbers is equal to the product of their LCM and HCF. Therefore, 120 * 5 = 600.

If the LCM of two numbers is 120 and their HCF is 5, what is the product of the

Practice Questions

Q1
If the LCM of two numbers is 120 and their HCF is 5, what is the product of the two numbers? (2023)
  1. 600
  2. 1200
  3. 240
  4. 300

Questions & Step-by-Step Solutions

If the LCM of two numbers is 120 and their HCF is 5, 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: Recall the relationship between LCM, HCF, and the product of two numbers: Product of two numbers = LCM * HCF.
  • Step 3: Identify the given values: LCM = 120 and HCF = 5.
  • Step 4: Substitute the values into the formula: Product = 120 * 5.
  • Step 5: Calculate the product: 120 * 5 = 600.
  • Step 6: Conclude that the product of the two numbers is 600.
  • Relationship between LCM and HCF – 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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