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If the HCF of two numbers is 15 and their LCM is 150, what is the product of the

Practice Questions

Q1
If the HCF of two numbers is 15 and their LCM is 150, what is the product of the two numbers?
  1. 225
  2. 1500
  3. 300
  4. 75

Questions & Step-by-Step Solutions

If the HCF of two numbers is 15 and their LCM is 150, what is the product of the two numbers?
Correct Answer: 2250
  • Step 1: Understand that HCF stands for Highest Common Factor and LCM stands for Lowest Common Multiple.
  • Step 2: Note the values given in the question: HCF = 15 and LCM = 150.
  • Step 3: Remember the formula that states the product of two numbers is equal to the product of their HCF and LCM.
  • Step 4: Use the formula: Product of the two numbers = HCF * LCM.
  • Step 5: Substitute the values into the formula: Product = 15 * 150.
  • Step 6: Calculate the product: 15 * 150 = 2250.
  • Step 7: Conclude that the product of the two numbers is 2250.
  • HCF and LCM Relationship – The product of two numbers is equal to the product of their highest common factor (HCF) and least common multiple (LCM).
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