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If the HCF of 24 and 36 is 12, what is the LCM of these two numbers? (2023)
If the HCF of 24 and 36 is 12, what is the LCM of these two numbers? (2023)
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Practice Questions
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Q1
If the HCF of 24 and 36 is 12, what is the LCM of these two numbers? (2023)
72
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60
84
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Using the relation HCF * LCM = Product of the numbers, we have LCM = (24 * 36) / 12 = 72.
Questions & Step-by-step Solutions
1 item
Q
Q: If the HCF of 24 and 36 is 12, what is the LCM of these two numbers? (2023)
Solution:
Using the relation HCF * LCM = Product of the numbers, we have LCM = (24 * 36) / 12 = 72.
Steps: 9
Show Steps
Step 1: Identify the two numbers we are working with, which are 24 and 36.
Step 2: Note the given Highest Common Factor (HCF) of these two numbers, which is 12.
Step 3: Recall the relationship between HCF, LCM, and the product of the two numbers: HCF * LCM = Product of the numbers.
Step 4: Calculate the product of the two numbers: 24 * 36.
Step 5: Perform the multiplication: 24 * 36 = 864.
Step 6: Use the relationship to find the LCM: LCM = (Product of the numbers) / HCF.
Step 7: Substitute the values into the equation: LCM = 864 / 12.
Step 8: Perform the division: 864 / 12 = 72.
Step 9: Conclude that the LCM of 24 and 36 is 72.
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