If the HCF of two numbers is 15 and their LCM is 150, what is the product of the

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Question: If the HCF of two numbers is 15 and their LCM is 150, what is the product of the two numbers?

Options:

Correct Answer: 1500

Solution:

The product of the two numbers is equal to the product of their HCF and LCM, which is 15 * 150 = 2250.

If the HCF of two numbers is 15 and their LCM is 150, what is the product of the two numbers?

If the HCF of two numbers is 15 and their LCM is 150, what is the product of the two numbers?

Correct Answer: 2250

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 = 15 and LCM = 150.
Step 3: Remember the formula that states the product of two numbers is equal to the product of their HCF and LCM.
Step 4: Use the formula: Product of the two numbers = HCF * LCM.
Step 5: Substitute the values into the formula: Product = 15 * 150.
Step 6: Calculate the product: 15 * 150 = 2250.
Step 7: Conclude that the product of the two numbers is 2250.

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).