If the HCF of two numbers is 12 and their LCM is 144, what is the product of the

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Question: If the HCF of two numbers is 12 and their LCM is 144, what is the product of the two numbers? (2023)

Options:

Correct Answer: 1728

Exam Year: 2023

Solution:

The product of two numbers is equal to the product of their HCF and LCM. Therefore, 12 * 144 = 1728.

If the HCF of two numbers is 12 and their LCM is 144, what is the product of the two numbers? (2023)

If the HCF of two numbers is 12 and their LCM is 144, what is the product of the two numbers? (2023)

Step 1: Understand that HCF stands for Highest Common Factor and LCM stands for Lowest Common Multiple.
Step 2: Remember the formula that states the product of two numbers is equal to the product of their HCF and LCM.
Step 3: Identify the given values: HCF = 12 and LCM = 144.
Step 4: Use the formula: Product of two numbers = HCF * LCM.
Step 5: Substitute the values into the formula: Product = 12 * 144.
Step 6: Calculate the product: 12 * 144 = 1728.
Step 7: Conclude that the product of the two numbers is 1728.

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).