If the LCM of two numbers is 72 and their HCF is 8, what is the product of the t

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Question: If the LCM of two numbers is 72 and their HCF is 8, what is the product of the two numbers?

Options:

Correct Answer: 576

Solution:

The product of the two numbers can be found using the formula: Product = LCM * HCF. Thus, Product = 72 * 8 = 576.

If the LCM of two numbers is 72 and their HCF is 8, what is the product of the two numbers?

If the LCM of two numbers is 72 and their HCF is 8, what is the product of the two numbers?

Step 1: Understand the terms LCM and HCF. LCM stands for Least Common Multiple, and HCF stands for Highest Common Factor.
Step 2: Identify the values given in the question. The LCM of the two numbers is 72, and the HCF is 8.
Step 3: Use the formula to find the product of the two numbers. The formula is: Product = LCM * HCF.
Step 4: Substitute the values into the formula. So, Product = 72 * 8.
Step 5: Calculate the product. 72 multiplied by 8 equals 576.
Step 6: Conclude that the product of the two numbers is 576.

LCM and HCF Relationship – The relationship between the Least Common Multiple (LCM) and the Highest Common Factor (HCF) of two numbers, which states that the product of the two numbers is equal to the product of their LCM and HCF.