Least Common Multiples (LCM) & Greatest Common Factors (GCF)

Slides:

Advertisements

Similar presentations

Use of Venn Diagrams to find the GCF and LCM

Advertisements

Lesson 1: Factors and Multiples of Whole Numbers

We can find a multiple by multiplying the numbers together, but to find the Least Common Multiple we have to get rid of any factors that the numbers have.

4.4 Prime Factorization. Prime Factorization Prime factorization = write as product of primes Ex 1) Find prime factorization of

Multiple A multiple of a number is the product of that number and any other whole number. Zero is a multiple of every number. What am I? Examples: 4: 8,

Greatest Common Factor

6 th VOCABULARY Helpful resources: glossary in the back of the book

GREATEST COMMON FACTOR

3.1 Factors and Multiples of Whole Numbers. A prime number A Composite number A factor of a Number Prime Factorization Greatest Common Factor Common Multiple.

Used to find the LCM and GCF to help us add and subtract fractions.

Prime Factorization.

L e a s t C o m m o n M u l t I p l e.

Greatest Common Factor Least Common Multiple and Lowest Terms

4.3 Greatest Common Factors (GCF)

Factors and Multiples. Definition of Factors and Multiples If one number is a factor of a second number or divides the second (as 3 is a factor of 12),

Greatest Common Factor & Least Common Multiple

5.1 Divisibility. Natural Numbers The set of natural numbers or counting numbers is {1,2,3,4,5,6,…}

Factors are numbers you can multiply together to get another number. Multiples are numbers that can be divided by another number without a remainder. Its.

Operations with Fractions. Adding and Subtracting Fractions.

GCF and LCM The Ladder Method. Step 1: Write your numbers side by side inside a letter L »Ex.) 12 and

Chapter Do you remember? The definition of: prime number? factor? prime factor? common factor? greatest common factor? multiple? common multiple?

Factoring using GCF interpret parts of an expressions such as terms, factors, and coefficient.

Greatest Common Factor Least Common Multiple Factorization.

Least Common Multiples (LCM) & Greatest Common Factors (GCF)

 The greatest common factor is the largest factor that two numbers share.  Factors- The number that are multiplied together in a multiplication problem.

Greatest Common Factor and Least Common Multiples GCF and LCM.

Least Common Multiples and Greatest Common Factors Lesson 4.3.

It starts exactly like GCF! LET’S MOVE ON TO LEAST COMMON MULTIPLE!

Greatest Common Factor and Least Common Multiples GCF and LCM.

LCMLeastCommonMultiple A Multiple of a number is the product of that number and a nonzero whole number. 2 x 1 = 2 2 x 2 = 4 2 x 3 = 6 2, 4, 6 are multiples.

Least Common Multiples

Topic #3: GCF and LCM What is the difference between a factor and a multiple? List all of the factors and the first 3 multiples of 6.

Least Common Multiple Objective: To find the least common multiple

Extra Lesson Greatest Common Factor and Least Common Multiple of Monomials Essential Question: How do you find the greatest common factor and least common.

PRIME FACTORIZATION Pg. 12. ESSENTIAL QUESTION HOW do you use equivalent rates in the real world?

Greatest Common Factor and Least Common Multiples GCF and LCM

Greatest Common Factors (GCF)

Greatest Common Factor Least Common Multiple

Least Common Multiples (LCM) & Greatest Common Factors (GCF)

For Finding LCD, GCF and Simplifying Fractions

For Finding LCD, GCF and Simplifying Fractions

FINDING THE GREATEST COMMON FACTOR

Least Common Multiples and Greatest Common Factors

For Finding LCM, GCF and Simplifying Fractions

GCF (greatest common factor) & LCM (least common multiple)

For Finding LCD, GCF and Simplifying Fractions

Positive Numbers and the Number Line

Ladder Method The ladder Method is simply upside down division.

GCF (greatest common factor) & LCM (least common multiple) Click on the link below to access videos:

8 Greatest Common Factor

Positive Numbers and the Number Line

For Finding LCD, GCF and Simplifying Fractions

Greatest Common Factor and Least Common Multiples GCF and LCM

Prime Factorization Course

L.C.M (Lowest Common Multiple) & G.C.F (Greatest Common Factor)

Greatest Common Factor and Least Common Multiples GCF and LCM

For Finding LCD, GCF and Simplifying Fractions

For Finding LCD, GCF and Simplifying Fractions

Greatest Common Factor

Factors and Multiples of Whole Numbers

Greatest Common Factor (GCF)

Greatest Common Factor

Finding the LCM and the GCF Using Prime Factorization

Least Common Multiples and Greatest Common Factors

Unit 1: Number System Fluency

For Finding LCD, GCF and Simplifying Fractions

Presentation transcript:

Least Common Multiples (LCM) & Greatest Common Factors (GCF) I will find LCM and GCF of two numbers by listing factors and multiples.

Vocabulary Factor Greatest Common Factor The numbers multiplied together to get a product. Greatest Common Factor The largest factor that is the same between two numbers. Example: Factors of 4: 1, 2, 4 Factors of 12: 1, 2, 3, 4, 6, 12 The GCF is 4.

Ladder Method For GCF Write both numbers on the same line Draw an “L” or upside down division symbol Divide the same number into both numbers inside the “L” Continue to divide into the numbers until you can’t anymore Multiply the numbers down the LEFT side This is your GCF Video: https://www.youtube.com/watch?v=myJraeUdGNI

It’s that easy! Let’s try some together. The greatest common factor of 8 and 10. GCF of 9 and 26. GCF of 20 and 45.

Vocabulary Multiple Least Common Multiple The product of the number and any nonzero whole number Least Common Multiple The smallest multiple that is the same between two numbers. Example: Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32 Multiples of 12: 12, 24, 36, 48

Ladder Method For LCM Write both numbers on the same line Draw an “L” or upside down division symbol Divide the same number into both numbers inside the “L” Continue to divide into the numbers until you can’t anymore Multiply the numbers down the LEFT side AND BOTTOM This is your LCM Video: https://www.youtube.com/watch?v=b6qehkDuioQ

It’s that easy! Let’s try some together. Least Common Multiple of 5 and 2 LCM of 12 and 8 LCM of 9 and 3

Finding the LCM of 3 or more numbers Put the numbers in the ladder as before. When you can NO longer divide into ALL numbers with the SAME divisor, STOP! This will be your GCF, multiply the numbers down the LEFT side. To find the LCM, continue to divide UNTIL you have ALL prime numbers and/or 1’s. If the divisor does NOT go into one of the numbers, simply BRING IT DOWN! You also can NOT have any duplicate numbers. Divide by the duplicate numbers to get rid of them.

Example 14 20 30 28 7 does not go into 2 or 3, just BRING THEM DOWN! 14 20 30 28 5 does not go into 7 or 14 , just BRING THEM DOWN! 7 does not go into 2 or 3, just BRING THEM DOWN! There are duplicate 2’s, so divide by 2 to get rid of them—2 doesn’t go into 1 or 3, so just bring them down.