Test of Essential Academic Skills (TEAS) ATI Mathematics Practice Test

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What is the least common multiple (LCM) of 4 and 6?

  1. 14

  2. 12

  3. 24

  4. 10

The correct answer is: 12

To determine the least common multiple (LCM) of 4 and 6, you can start by identifying the multiples of each number. The multiples of 4 are: - 4, 8, 12, 16, 20, 24, ... The multiples of 6 are: - 6, 12, 18, 24, ... The LCM is the smallest multiple that appears in both lists. By examining the lists of multiples, you can see that the smallest common multiple is 12. Therefore, the LCM of 4 and 6 is 12, which is why this answer is correct. Identifying the LCM is a key concept in working with fractions and finding common denominators, as well as in problem-solving related to ratios and proportions. Understanding how to find multiples and identifying the smallest common one is crucial in many areas of mathematics, making LCM a fundamental concept for solving problems effectively.