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Find the Least Common Multiple

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Examine the list and find the common multiples from 12 and You can see 60 and show up in both lists. So which is the least of the common multiples? Finding LCM for a set of numbers by the above method is bit cumbersome to do every time. Take the case of LCM of 7 and 84, by the above method we need to go on finding the multiples of 7 till 7x Start by factorizing both the number twelve and fifteen.

Write down as below:. The prime factors from the result are 2, 3 and 5. What are the highest degrees of these prime factors? The LCM of the numbers is But, this way can get kind of annoying, especially when the numbers get bigger, so there are some shortcuts as well.

If we look at the first example we did, the LCM of 5 and 6, the answer was 30, which is exactly what 5 times 6 is. The least common multiple of 6 and 8 was 24, which is not equal to 6 times 8. Now, the reason this trick works for the first one but not the second one is the fact that the numbers in the first one do not share any factor.

Factors are kinda like the opposites of multiples. If multiples are the bigger numbers that 6 go into 6, 12, 18, For example, the factors of 15 are 1, 3, 5 and 15, because those are all the numbers that you can divide 15 by and get a nice number out.

Or, we can say the factors of 22 are 1, 2, 11 and Get access risk-free for 30 days, just create an account.

So, back to the trick. That means 6 times 20 is not my answer, and I have to instead just list out all the numbers and find the first one they have in common, which appears to be Before we finish, I should tell you that sometimes the LCM of two numbers can be one of the original numbers itself.

Remember how we said earlier that a number is a multiple of itself? The multiples of a number are the numbers you get when you times that first number by 1, then by 2, and then 3 and 4 and so on. To unlock this lesson you must be a Study.

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Find a degree that fits your goals. How to Find the Least Common Multiple The least common multiple of two numbers is the smallest number that can be divided evenly by your two original numbers. Try it risk-free for 30 days. An error occurred trying to load this video. Try refreshing the page, or contact customer support.

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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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Browse Articles By Category Browse an area of study or degree level. Education and Career Roadmap. You are viewing lesson Lesson 4 in chapter 1 of the course:. College Mathematics 15 chapters lessons 13 flashcard sets. Graphing and Factoring Quadratic Simplifying and Solving Rational

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.