If the HCF of two numbers is 15 and their product is 450, what is their LCM?

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Question: If the HCF of two numbers is 15 and their product is 450, what is their LCM?

Options:

Correct Answer: 45

Solution:

The LCM can be found using the formula: LCM = (Product of the numbers) / HCF. Thus, LCM = 450 / 15 = 30.

If the HCF of two numbers is 15 and their product is 450, what is their LCM?

If the HCF of two numbers is 15 and their product is 450, what is their LCM?

Step 1: Understand the terms. HCF (Highest Common Factor) is the largest number that divides both numbers. LCM (Lowest Common Multiple) is the smallest number that both numbers can divide into.
Step 2: Note the given values. The HCF of the two numbers is 15, and their product is 450.
Step 3: Use the formula to find the LCM. The formula is: LCM = (Product of the numbers) / HCF.
Step 4: Substitute the values into the formula. Here, LCM = 450 / 15.
Step 5: Perform the division. Calculate 450 divided by 15, which equals 30.
Step 6: Conclude that the LCM of the two numbers is 30.

HCF and LCM Relationship – The relationship between the Highest Common Factor (HCF) and the Least Common Multiple (LCM) of two numbers, where LCM can be calculated using the formula: LCM = (Product of the numbers) / HCF.