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

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Question: If the HCF of three numbers is 5 and their LCM is 300, what is the product of the three numbers? (2023)

Options:

Correct Answer: 3000

Exam Year: 2023

Solution:

The product of the three numbers is equal to HCF * LCM = 5 * 300 = 1500.

If the HCF of three numbers is 5 and their LCM is 300, what is the product of the three numbers? (2023)

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.