If the HCF of three numbers is 5 and their LCM is 300, what is the product of th

Practice Questions

Q1
If the HCF of three numbers is 5 and their LCM is 300, what is the product of the three numbers? (2023)
  1. 1500
  2. 3000
  3. 6000
  4. 7500

Questions & Step-by-Step Solutions

If the HCF of three numbers is 5 and their LCM is 300, what is the product of the three numbers? (2023)
  • 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 = 5 and LCM = 300.
  • Step 3: Recall the formula that relates the product of the numbers to their HCF and LCM: Product of the numbers = HCF * LCM.
  • Step 4: Substitute the values into the formula: Product = 5 * 300.
  • Step 5: Calculate the product: 5 * 300 = 1500.
  • Step 6: Conclude that the product of the three numbers is 1500.
  • HCF and LCM Relationship – The product of the HCF and LCM of a set of numbers is equal to the product of the numbers themselves.
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