Which of the following statements is true regarding the HCF and LCM of two numbe

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Question: Which of the following statements is true regarding the HCF and LCM of two numbers? (2023)

Options:

Correct Answer: HCF * LCM = Product of the numbers

Exam Year: 2023

Solution:

The correct statement is that HCF * LCM = Product of the numbers.

Which of the following statements is true regarding the HCF and LCM of two numbers? (2023)

Which of the following statements is true regarding the HCF and LCM of two numbers? (2023)

Step 1: Understand what HCF (Highest Common Factor) means. It is the largest number that divides both numbers without leaving a remainder.
Step 2: Understand what LCM (Lowest Common Multiple) means. It is the smallest number that both numbers can divide into without leaving a remainder.
Step 3: Know the relationship between HCF and LCM. The formula states that HCF multiplied by LCM equals the product of the two numbers.
Step 4: If you have two numbers, let's call them A and B, you can find their HCF and LCM.
Step 5: Calculate the product of A and B (A * B).
Step 6: Calculate the HCF of A and B.
Step 7: Calculate the LCM of A and B.
Step 8: Multiply the HCF and LCM together (HCF * LCM).
Step 9: Check if HCF * LCM equals A * B. If it does, the statement is true.

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