1. Quote of the Day: Fact: Thomas Edison invented over 1000 inventions besides the light bulb

2. Facts about Thomas Edison Fact: Thomas Edison did look at it at 1000 failures before the light bulb was invented instead…..he looked at it as 1000 ways the light bulb did not work. Could you continue with a that kind of positive attitude? Math is not about perfection…its about continuing on until accuracy is obtained.

3. LCM (least common multiple) Created by Ms. Layne

4. Review Common Multiple A common multiple is a number that is a multiple of two or more numbers. What are the common multiples of 3 and 4?common multiple Remember a multiple must start with the number and expand or grow bigger Hint: Remember a multiple must start with the number and expand or grow bigger (a multiple can never ever be smaller than the original number) Multiples of 3 – 3, 6, 9, 12, 15, 18, 21, 24 Multiples of 4 – 4, 8, 12, 16, 20, 24 Therefore the common multiples of 3 and 4 are…. 12 and 24

5. LCM Least Common Multiple Definition The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both.least common multiple Let’s look at our example of common multiples of 3 and 4…. least 12 and 24 – What is the least common multiple? The LCM of 3 and 4 is 12.

6. 3 Methods of LCM 1. Multiples – Old School Way 2. Factor Tree – using a factor tree to determine the LCM 3. The upside down birthday cake – the upside down cake returns to show us an easy way to determine the LCM

7. Method 1 - Multiples 1. Write out the long way multiples of each number. Remember to start each number with itself than continue on (look at a multiplication table it is multiples of that number. For video help please go to study jams: http://studyjams.scholastic.com/studyjams/j ams/math/fractions/least-common- multiple.htm http://studyjams.scholastic.com/studyjams/j ams/math/fractions/least-common- multiple.htm Example will be done in class using 6 and 8.

8. Method 1 - Multiples Method 1 - Multiples More Examples

9. Method 2 – Factor Tree 2. Factor Trees 1. make a factor tree using 6 and 8. 2. Write out horizontal the prime factors in each number. 3. Circle the numbers they have in common and only use them once. 4. Rewrite all prime factors of both numbers only using the common numbers once. 5. Multiply them all together to get the LCM. For video help see study jams: http://studyjams.scholastic.com/studyjams/jams/math/fr actions/least-common-multiple.htm Example in class will be done using same numbers 6 and 8.

10. More Examples Method 2 – Factor Tree

11. Method 3 – Upside Down Birthday Cake 3. Upside Down Birthday Cake 1. Write the numbers in tier 1 of the cake. 2. pull out the smallest prime number. 3. Repeat each tier until you can not take out a common prime number. 4. Multiply the prime numbers on the left like GCF and the numbers at the bottom on the cake to get the LCM For Video help see YouTube: http://www.youtube.com/watch?v=GD5jLpSsN00 http://www.youtube.com/watch?v=GD5jLpSsN00 Example in class will be done using same example numbers 6 and 8.

12. More Examples Method 3 – Upside Down Birthday Cake

13. Thanks for stopping by Let’s do some examples using our assignment problems. Remember all power points are posted on my website. This homework assignment can be found on my website also. Have a Blessed day