the least common multiple lcm of two numbers is the smallest number that is a multiple of both which of the following represents the lcm of 14 and 21
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HESI A2

HESI A2 Math Practice Test 2022

1. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both. Which of the following represents the LCM of 14 and 21?

Correct answer: C

Rationale: Rationale: To find the least common multiple (LCM) of 14 and 21, we need to determine the smallest number that is a multiple of both 14 and 21. First, list the multiples of 14: 14, 28, 42, 56, 70, 84, ... Next, list the multiples of 21: 21, 42, 63, 84, ... The smallest number that appears in both lists is 42. Therefore, the LCM of 14 and 21 is 42.

2. How many milliliters are in 6 liters?

Correct answer: B

Rationale: The correct answer is B: 6000 milliliters. There are 1,000 milliliters in a liter. To convert liters to milliliters, you multiply the number of liters by 1,000. Therefore, 6 liters = 6 × 1,000 = 6,000 milliliters. Choices A, C, and D are incorrect because they do not correctly convert liters to milliliters.

3. Convert the decimal 0.98 to a percent.

Correct answer: A

Rationale: To convert a decimal to a percent, you multiply the decimal by 100. In this case, 0.98 × 100 = 98%. Therefore, the correct answer is A, which is 98%. Choice B (9%) is incorrect as it results from an error in calculation. Choice C (98) is incorrect as it lacks the percent symbol. Choice D (99%) is incorrect as it is not the equivalent percentage of 0.98.

4. How many ounces are in 4 quarts?

Correct answer: B

Rationale: The correct answer is B: 128 ounces. There are 32 ounces in a quart, so when you have 4 quarts, you multiply 4 by 32 to get the total number of ounces, which equals 128. Choices A, C, and D are incorrect because they do not reflect the correct conversion from quarts to ounces.

5. 4 7/8 divided by 1 1/6 equals what?

Correct answer: D

Rationale: To divide 4,7/8 by 1,1/6: Convert to improper fractions: 4,7/8 = 39/8 1,1/6 = 7/6 Divide by multiplying by the reciprocal: 39/8 × 6/7 = 234/56 Simplify: 234/56 = 117/28 or 4,5/28

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