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If the HCF of two numbers is 5 and their product is 1000, what is their LCM? (20
If the HCF of two numbers is 5 and their product is 1000, what is their LCM? (2023)
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Q1
If the HCF of two numbers is 5 and their product is 1000, what is their LCM? (2023)
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Using the relation HCF * LCM = Product of the numbers, we have LCM = 1000 / 5 = 200.
Questions & Step-by-step Solutions
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Q
Q: If the HCF of two numbers is 5 and their product is 1000, what is their LCM? (2023)
Solution:
Using the relation HCF * LCM = Product of the numbers, we have LCM = 1000 / 5 = 200.
Steps: 7
Show Steps
Step 1: Understand that HCF (Highest Common Factor) and LCM (Lowest Common Multiple) are related to two numbers.
Step 2: Recall the formula that connects HCF and LCM: HCF * LCM = Product of the two numbers.
Step 3: Identify the given values: HCF = 5 and the product of the two numbers = 1000.
Step 4: Substitute the known values into the formula: 5 * LCM = 1000.
Step 5: To find LCM, divide both sides of the equation by 5: LCM = 1000 / 5.
Step 6: Calculate the division: 1000 divided by 5 equals 200.
Step 7: Conclude that the LCM of the two numbers is 200.
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