FTCE General Knowledge Math Practice Test 2025 – All-in-One Guide to Ensure Exam Success!

Question: 1 / 400

Which of the following is the smallest product that is a multiple of each of a set of counting numbers?

Prime number

GCF

LCM

The smallest product that is a multiple of each number in a given set of counting numbers is known as the Least Common Multiple (LCM). The LCM is defined as the smallest positive integer that is divisible by each of the numbers in the set.

When you think about finding multiples of numbers, the LCM ensures that you reach the smallest value that meets the criteria of being a multiple of all the elements. For instance, if you have the numbers 4 and 6, the multiples of 4 are 4, 8, 12, 16, etc., and the multiples of 6 are 6, 12, 18, etc. The smallest common value between these two sets is 12, making it the LCM.

In contrast, other options like a prime number or a whole number do not inherently relate to the concept of multiples across a set of numbers. The GCF (Greatest Common Factor), while related to divisibility, focuses on finding the largest factor common to the numbers rather than the least common multiple, making it distinct in function from what is being asked for in this question.

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Whole number

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