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Basic Math MA 050 Objective A. Find Common Multiples and LCM 1. List the first 8 multiples of each number. 5: ____, ____, ____, ____, ____, ____, ____, ____ 4: ____, ____, ____, ____, ____, ____, ____, ____ Section 3,2 Least Common Multiple Student Practice 1.b List the first 8 multiples of each number. 9: ____, ____, ____, ____, ____, ____, ____, ____ 5: ____, ____, ____, ____, ____, ____, ____, ____ Which multiples listed above are common to both numbers? (Called COMMON MULTIPLES) __________ __________ Which multiples listed above are common to both numbers? (Called COMMON MULTIPLES) __________ __________ What is the LEAST (smallest) COMMON MULTIPLE (LCM)? ____________ (Complete problem at right →) What is the LEAST (smallest) COMMON MULTIPLE (LCM)? __________ is LCM for 9 and 5 A different method to find LCM 2. Find the LCM for 9 and 12 2.b Find the LCM for 9 and 15 First, list the multiples of the largest number until a number that is a multiple of the smaller number appears: First, list the multiples of the largest number until a number that is a multiple of the smaller number appears: Solution 12 · 1 = 12 (not a multiple of 9) 12 · 2 = 24 (not a multiple of 9) 12 · 3 = 36 (A multiple of 9) Solution 15 · 1 = 15 15 · 2 = _____ ______________ The LCM of 9 and 15 is ________ The LCM of 9 and 12 is ________ (Complete problems at right →) 2.C Find LCM of 8 and 16 Assignment: All Odd Numbered Problems , Pages 188-190 (1, 3, 5, 7, . . . ) Basic Math MA 050 Section 3,2 Least Common Multiple Objective B- Find the LCM by Prime Factorization Method Student Practice 3. Find the LCM of 270 and 84 by Prime Factorization Method. 3.b Find the LCM of 72 and 60 by Prime Factorization Method. 1st : List the prime Factors for each number: 1st : List the prime Factors for each number: (Do this by division process) (Do this by division process) 270: 72: 84: 60: 2nd Circle the greatest number of primes in each set. 2nd Circle the greatest number of primes in each set. 3rd: Find the product of the circled primes: 3rd: Find the product of the circled primes: The LCM is ____________ The LCM is ____________ More Practice: # 10, Page 188 Assignment: All Odd Numbered Problems , Pages 188-190 (1, 3, 5, 7, . . . ) Basic Math MA 050 Section 3,2 Least Common Multiple More Practice Using Exponents Student Practice 4. Find the LCM by prime factorization for the numbers 120 and 108 4.b Find the LCM by prime factorization for the numbers 216 and 180 1st : List the prime Factors for each number: (Do this by division process) 1st : List the prime Factors for each number: (Do this by division process) 216: 120: List as exponents of the base prime List as exponents of the base prime 180: 108: List as exponents of the base prime List as exponents of the base prime 2nd Circle the primes with largest exponent in each set. 2nd Circle the primes with largest exponent in each set. 3rd: Find the product of the circled primes: 3rd: Find the product of the circled primes: The LCM in prime factored form is : ____________ The LCM in prime factored form is : ____________ Assignment: All Odd Numbered Problems , Pages 188-190 (1, 3, 5, 7, . . . ) Basic Math MA 050 Section 3,2 Least Common Multiple Now Let’s Try Three Numbers Student Practice # 18, Page 188 #30, Page 188 Objective C: Writing Equivalent Fractions Rewrite 1 3 as ? Rewrite 12 Divide and multiply, like this: Rewrite 1 3 = 4 12 7 8 as ? 56 Divide and multiply, like this: Rewrite 7 8 Assignment: All Odd Numbered Problems , Pages 188-190 (1, 3, 5, 7, . . . ) = 56