If the LCM of two numbers is 84 and their HCF is 12, what is the product of the

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Question: If the LCM of two numbers is 84 and their HCF is 12, what is the product of the two numbers?

Options:

Correct Answer: 1008

Solution:

The product of the two numbers can be found using the formula: Product = LCM * HCF. Thus, Product = 84 * 12 = 1008.

If the LCM of two numbers is 84 and their HCF is 12, what is the product of the two numbers?

If the LCM of two numbers is 84 and their HCF is 12, 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 84 and the HCF is 12.
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 = 84 * 12.
Step 5: Calculate the product. 84 multiplied by 12 equals 1008.
Step 6: Conclude that the product of the two numbers is 1008.

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.