If the LCM of two numbers is 120 and their HCF is 10, what is the product of the

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Question: If the LCM of two numbers is 120 and their HCF is 10, what is the product of the two numbers? (2023)

Options:

Correct Answer: 1200

Exam Year: 2023

Solution:

The product of two numbers is equal to the product of their LCM and HCF. Therefore, 120 * 10 = 1200.

If the LCM of two numbers is 120 and their HCF is 10, what is the product of the two numbers? (2023)

If the LCM of two numbers is 120 and their HCF is 10, what is the product of the two numbers? (2023)

Step 1: Understand that LCM stands for Least Common Multiple and HCF stands for Highest Common Factor.
Step 2: Recall the relationship between LCM, HCF, and the product of two numbers: Product of two numbers = LCM * HCF.
Step 3: Identify the given values: LCM = 120 and HCF = 10.
Step 4: Substitute the values into the formula: Product = 120 * 10.
Step 5: Calculate the product: 120 * 10 = 1200.
Step 6: Conclude that the product of the two numbers is 1200.

LCM and HCF Relationship – The product of two numbers is equal to the product of their Least Common Multiple (LCM) and Highest Common Factor (HCF).