If the HCF of two numbers is 12 and their LCM is 120, what is the product of the

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Question: If the HCF of two numbers is 12 and their LCM is 120, what is the product of the two numbers?

Options:

Correct Answer: 1200

Solution:

The product of two numbers is equal to the product of their HCF and LCM. Therefore, the product = 12 * 120 = 1440.

If the HCF of two numbers is 12 and their LCM is 120, what is the product of the two numbers?

If the HCF of two numbers is 12 and their LCM is 120, what is the product of the two numbers?

Step 1: Understand that HCF stands for Highest Common Factor and LCM stands for Lowest Common Multiple.
Step 2: Remember the relationship between two numbers, their HCF, and their LCM: the product of the two numbers equals the product of their HCF and LCM.
Step 3: Identify the given values: HCF = 12 and LCM = 120.
Step 4: Use the formula: Product of the two numbers = HCF * LCM.
Step 5: Substitute the values into the formula: Product = 12 * 120.
Step 6: Calculate the product: 12 * 120 = 1440.
Step 7: Conclude that the product of the two numbers is 1440.

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).