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Smarter Balanced Assessments - Math Grade 6: High School Algebra I: Holt McDougal Algebra 2: High School Algebra II: McDougal Littell Algebra 1: In this video lesson, you will learn what kinds of word problems you can expect to see that involve the greatest common factor or the least common multiple. Greatest Common Factor Word problems, here we go! Example When you come across a word problem that involves the greatest common factor, you might see a problem like this one: Try it risk-free No obligation, cancel anytime.

Want to learn more? Select a subject to preview related courses: Least Common Multiple The next type of word problem we will consider in this video lesson is the one involving the least common multiple , the smallest multiple shared between two numbers.

Example A typical word problem that you might encounter that involves the least common multiple may sound like this one: The greatest common factor is the greatest factor that can be shared between two or more numbers. To find the greatest common factor, we first list all the factors of each number.

Then, we find the greatest factor that is common to all the numbers. The least common multiple is the smallest multiple shared between two numbers.

To find the least common multiple, we list the multiples of each number, and then look for the first number that they have in common. Learning Outcomes Once you are done with this lesson, you should be able to: Identify a greatest common factor or least common multiple word problem Recall how to find the greatest common factor and the least common multiple of a set of numbers. Unlock Your Education See for yourself why 30 million people use Study. Become a Member Already a member?

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What is the Product in Math? Intro to Criminal Justice: Introduction to Political Science: Praxis Mathematics - Content Knowledge The Civil War and Reconstruction. The least common multiple of two numbers is the smallest number that can be divided evenly by your two original numbers. What Is a Multiple? Try it risk-free No obligation, cancel anytime. Want to learn more? Select a subject to preview related courses: Define least common multiple and explain how to find it Differentiate between factor and multiple Identify a shortcut to finding the least common multiple in a particular situation Explain when you will likely need to find the least common multiple.

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For example 6 is the smallest multiple of both 2 and 3. Therefore, LCM of 2 and 3 is 6. Let’s try to find least common multiple of 3 and 4. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, As we can see 12 and 24 both are the multiples of 3 and 4 but 12 is the smallest common multiple.

The common multiples of 3 and 4 are 0, 12, 24, . The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both. Homework Help | Pre-Algebra | Factoring.

The LCM of two numbers x and y is the least number among all the common multiples of x and y. Example: Find the LCM of 6 and 9. Solution: Multiples of 6 are 6,12,18,24,30,36, Multiples of 9 are . Because the variables are independent, the common multiple must include each variable from both expression, and power of each variable must be not less then in every expression. The least common multiple has the least possible power for each variable, i.e. maximum from both expressions. For x, the least possible power is max(6,8)=8. For w max(4,5)=5.

Homework Help Least Common Multiple homework help least common multiple Homework Name Date Least Common Multiple Different Ways to Find the LCM of 8 and 20 Way 1:Make a list. Get an answer for 'The least common multiple of a number "n" and 6 is What are all of teh possible whole-number values for "n"?' and find homework help for other Math questions at eNotes.