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If the HCF of three numbers is 5 and their LCM is 300, what is the product of th
Practice Questions
Q1
If the HCF of three numbers is 5 and their LCM is 300, what is the product of the three numbers? (2023)
1500
3000
6000
7500
Questions & Step-by-Step Solutions
If the HCF of three numbers is 5 and their LCM is 300, what is the product of the three numbers? (2023)
Steps
Concepts
Step 1: Understand that HCF stands for Highest Common Factor and LCM stands for Lowest Common Multiple.
Step 2: Note the values given in the question: HCF = 5 and LCM = 300.
Step 3: Recall the formula that relates the product of the numbers to their HCF and LCM: Product of the numbers = HCF * LCM.
Step 4: Substitute the values into the formula: Product = 5 * 300.
Step 5: Calculate the product: 5 * 300 = 1500.
Step 6: Conclude that the product of the three numbers is 1500.
HCF and LCM Relationship
– The product of the HCF and LCM of a set of numbers is equal to the product of the numbers themselves.
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