If the LCM of two numbers is 36 and their HCF is 6, what is the product of the t

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Question: If the LCM of two numbers is 36 and their HCF is 6, what is the product of the two numbers?

Options:

Correct Answer: 216

Solution:

The product of the two numbers is LCM * HCF = 36 * 6 = 216.

If the LCM of two numbers is 36 and their HCF is 6, what is the product of the two numbers?

If the LCM of two numbers is 36 and their HCF is 6, what is the product of the two numbers?

Correct Answer: 216

Step 1: Understand that LCM stands for Least Common Multiple and HCF stands for Highest Common Factor.
Step 2: Note the values given in the question: LCM = 36 and HCF = 6.
Step 3: Recall the formula that relates the product of two numbers to their LCM and HCF: Product of two numbers = LCM * HCF.
Step 4: Substitute the values into the formula: Product = 36 * 6.
Step 5: Calculate the product: 36 * 6 = 216.
Step 6: Conclude that the product of the two numbers is 216.

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).