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If the LCM of three numbers is 180 and their HCF is 3, what is the product of th
If the LCM of three numbers is 180 and their HCF is 3, what is the product of the three numbers? (2023)
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If the LCM of three numbers is 180 and their HCF is 3, what is the product of the three numbers? (2023)
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The product of the three numbers is equal to LCM * HCF^2. Therefore, 180 * 3^2 = 180 * 9 = 1620.
Questions & Step-by-step Solutions
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Q
Q: If the LCM of three numbers is 180 and their HCF is 3, what is the product of the three numbers? (2023)
Solution:
The product of the three numbers is equal to LCM * HCF^2. Therefore, 180 * 3^2 = 180 * 9 = 1620.
Steps: 7
Show Steps
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 = 180 and HCF = 3.
Step 3: Recall the formula that relates the product of the numbers to their LCM and HCF: Product of the numbers = LCM * (HCF^2).
Step 4: Calculate HCF squared: 3^2 = 9.
Step 5: Multiply the LCM by HCF squared: 180 * 9.
Step 6: Perform the multiplication: 180 * 9 = 1620.
Step 7: Conclude that the product of the three numbers is 1620.
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