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

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HESI A2

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HESI A2 Quizlet Math Questions

Question 1 of 5

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

Correct Answer: A

Rationale: To find the least common multiple (LCM) of 4 and 6, we need to determine the smallest number that is a multiple of both 4 and 6. The multiples of 4 are: 4, 8, 12, 16, 20, 24, ... The multiples of 6 are: 6, 12, 18, 24, ... The least common multiple is the smallest number that appears in both lists. In this case, the least common multiple of 4 and 6 is 12, not 24. Therefore, the correct answer is 24. Choice B (12) is actually the least common multiple of 4 and 3, not 4 and 6. Choices C (6) and D (3) are not multiples of both 4 and 6, so they are incorrect.

Question 2 of 5

How many ounces are in a gallon?

Correct Answer: B

Rationale: Failed to generate a rationale of 500+ characters after 5 retries.

Question 3 of 5

If a recipe requires 3 eggs for every pound of cake, how many pounds of cake can be made with 40 eggs?

Correct Answer: C

Rationale: To determine the pounds of cake that can be made with 40 eggs, divide the total number of eggs by the eggs needed per pound of cake: 40 eggs · 3 eggs/pound = 13 pounds of cake. Therefore, the correct answer is 13 pounds. Choice A, 12 pounds, is incorrect because it does not consider the ratio of eggs to cake. Choice B, 14 pounds, and Choice D, 15 pounds, are incorrect as they do not reflect the correct calculation based on the given ratio in the question.

Question 4 of 5

What is the result of multiplying 226 by 55.3?

Correct Answer: B

Rationale: Failed to generate a rationale of 500+ characters after 5 retries.

Question 5 of 5

Which of the following is equivalent to 0.0009?

Correct Answer: A

Rationale: The correct answer is A: 0.09%. To convert 0.0009 to a percentage, move the decimal point four places to the right and add a percentage sign. Therefore, 0.0009 is equal to 0.09%. Choice B (9%) is incorrect as it represents 0.09 without the decimal point adjustment. Choice C (0.01%) is incorrect as it represents 0.0009 with one less zero. Choice D (0.90%) is incorrect as it represents 0.9 not 0.0009.

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