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Math Homework Help for 6.1 f ☺ Tuesday & Wednesday: Students will be learning how to find the multiples of a number and finding the least common multiple of 2 numbers. The following are some examples. FINDING MULTIPLES: Circle each number that has a 8 as a multiple. 10 8 36 24 100 12 64 56 To find the answer just make a list of the multiples of 8 (or use division). 8 x 1 8 x 2 8 x 3 8 x 4 8 x 5 8 x 6 8 x 7 8 x 8 8 x 9 8 x 10 8 16 24 32 40 48 56 64 72 80 so far we would circle 8, 24, 64, and 56. But what about 100? Just divide 8 into 100. If it comes out evenly without any leftover numbers then 100 is a multiple also! Divide 100 by 8 Answer is not even. There is still a remainder of 4 that would make us have to use a decimal. So 100 is NOT a multiple of 8. ANSWER: Only multiples of 8 in the question are 8, 24, 64, and 56 LEAST COMMON MULTIPLE: What is the least common multiple of 12 and 9? Just multiply like in question number 1 except do it for both numbers. 1 x 12 2 x 12 3 x 12 4 x 12 5 x 12 6 x 12…… 12 1x9 9 24 36 48 60 2x9 3x9 4x9 18 27 36 5x9 45 72 6 x 9…… 54 What is the smallest multiple they have in common? 12: 12 9: 24 9 18 36 27 48 60 36 45 72 54 ANSWER: 36 is the smallest multiple they have in common! ALTERNATIVE METHOD: You can also find the LCM by using the Cake or Tree Method of Prime Factorization and find the primes the two numbers have in common and multiplying them! 1 3 3 2 6 2 12 Prime Factors of 1 3 3 3 9 12: 2 x 2 x 3 9: 3 x 3 Common: are two 3’s which becomes one 3 Multiply 3 time all the extra numbers we have 3 x 3 x 2 x 2 = 36