If the HCF of three numbers is 7 and their LCM is 420, what is the maximum possi

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Question: If the HCF of three numbers is 7 and their LCM is 420, what is the maximum possible value of the product of these three numbers? (2023)

Options:

Correct Answer: 1260

Exam Year: 2023

Solution:

The product of the three numbers is equal to HCF * LCM. Thus, 7 * 420 = 2940.

If the HCF of three numbers is 7 and their LCM is 420, what is the maximum possible value of the product of these three numbers? (2023)

If the HCF of three numbers is 7 and their LCM is 420, what is the maximum possible value of the product of these three numbers? (2023)

Step 1: Understand that HCF stands for Highest Common Factor and LCM stands for Lowest Common Multiple.
Step 2: Note that the product of the three numbers can be calculated using the formula: Product = HCF * LCM.
Step 3: Substitute the given values into the formula: HCF = 7 and LCM = 420.
Step 4: Calculate the product: 7 * 420.
Step 5: Perform the multiplication: 7 * 420 = 2940.
Step 6: Conclude that the maximum possible value of the product of the three numbers is 2940.

HCF and LCM Relationship – The product of the HCF (Highest Common Factor) and LCM (Lowest Common Multiple) of a set of numbers is equal to the product of those numbers.