FTCE General Knowledge Math Practice Test

Disable ads (and more) with a membership for a one time $2.99 payment

Prepare for the FTCE General Knowledge Math Test with our comprehensive quiz. Study using flashcards and multiple-choice questions, all with detailed hints and explanations. Get ready to excel on your exam!

Each practice test/flash card set has 50 randomly selected questions from a bank of over 500. You'll get a new set of questions each time!

Practice this question and more.

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

Prime number
GCF
LCM
Whole number

The correct answer is: 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.