LCM for GMAT Focus Edition: Strategy, Formulas & Solved Problems
Direct Takeaway: Comprehensive study guide covering LCM (Arithmetic) for GMAT Focus Edition. Includes foundational theory, step-by-step examples, practice tips, and 6 FAQs.
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##Problem:
To solve the problem, you are given two numbers and asked to find their least common multiple (LCM). The equation is: a = 20. Let f(x) be the function that represents the relationship between these two numbers.
You are also provided with a background statement that describes the context of the problem. In this case, the area of a rectangle is given by the product of its length and width. You are asked to find the LCM of the two numbers.
##Solution:
To solve this problem, you can use the formula for the LCM of two numbers: LCM(a, b) = |a*b| / GCD(a, b), where GCD is the greatest common divisor.
First, you need to find the GCD of the two numbers. You can do this by listing the factors of each number and identifying the common factors. In this case, the factors of 20 are 1, 2, 4, 5, 10, and 20, while the factors of the other number (which is not specified) will depend on its value.
Once you have found the GCD, you can use it to calculate the LCM. For example, if the two numbers are 12 and 15, the GCD would be 3, and the LCM would be |12*15| / 3 = 60.
##Example:
Let's say the two numbers are 8 and 12. To find their LCM, you can follow these steps:
1. Find the factors of each number: 8 = 2^3, 12 = 2^2 * 3
2. Identify the common factor: 2
3. Calculate the GCD: |8*12| / 2 = 4
4. Calculate the LCM: 4 * (8/2) * (12/2) = 24
Therefore, the LCM of 8 and 12 is 24.
##Conclusion:
In this problem, you are asked to find the least common multiple of two numbers using the formula LCM(a, b) = |a*b| / GCD(a, b). You can use this formula to solve problems like this one.