If the LCM of two numbers is 60 and their HCF is 5, what is the product of the t

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Question: If the LCM of two numbers is 60 and their HCF is 5, what is the product of the two numbers?

Options:

Correct Answer: 300

Solution:

The product of the two numbers is HCF * LCM = 5 * 60 = 300.

If the LCM of two numbers is 60 and their HCF is 5, what is the product of the two numbers?

If the LCM of two numbers is 60 and their HCF is 5, what is the product of the two numbers?

Step 1: Understand what LCM and HCF mean. LCM (Least Common Multiple) is the smallest number that is a multiple of both numbers. HCF (Highest Common Factor) is the largest number that divides both numbers.
Step 2: Identify the values given in the question. The LCM is 60 and the HCF is 5.
Step 3: Use the formula that relates LCM, HCF, and the product of two numbers: Product of the two numbers = HCF * LCM.
Step 4: Substitute the values into the formula: Product = 5 * 60.
Step 5: Calculate the product: 5 * 60 = 300.
Step 6: Conclude that the product of the two numbers is 300.

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).