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If the least common multiple (LCM) of two numbers is 60 and their greatest commo

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Question: If the least common multiple (LCM) of two numbers is 60 and their greatest common divisor (GCD) is 5, what is the product of the two numbers?

Options:

  1. 300
  2. 60
  3. 12
  4. 15

Correct Answer: 300

Solution: 

The product of two numbers is equal to the product of their LCM and GCD. Therefore, 60 * 5 = 300.

If the least common multiple (LCM) of two numbers is 60 and their greatest commo

Practice Questions

Q1
If the least common multiple (LCM) of two numbers is 60 and their greatest common divisor (GCD) is 5, what is the product of the two numbers?
  1. 300
  2. 60
  3. 12
  4. 15

Questions & Step-by-Step Solutions

If the least common multiple (LCM) of two numbers is 60 and their greatest common divisor (GCD) is 5, what is the product of the two numbers?
  • Step 1: Understand that the product of two numbers can be found using their least common multiple (LCM) and greatest common divisor (GCD).
  • Step 2: Recall the formula: Product of two numbers = LCM × GCD.
  • Step 3: Identify the values given in the question: LCM is 60 and GCD is 5.
  • Step 4: Substitute the values into the formula: Product = 60 × 5.
  • Step 5: Calculate the product: 60 × 5 = 300.
  • Step 6: Conclude that the product of the two numbers is 300.
  • Relationship between LCM and GCD – The product of two numbers is equal to the product of their least common multiple (LCM) and greatest common divisor (GCD).
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