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10/8/08 GCF, LCM Using Prime Factors #19 Add the above heading to graph paper and your table of contents, then find the prime factorization of each number below Today’s Plan: Warm-up and review Practice! Assignment: #1-14 all on graph paper showing all work including factor tree and prime factorization line up. Reminders: Use pencil! Quiz tomorrow

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Find the GCF and LCM. Using Prime Factorization to Find the GCF and LCM A. 40, = 2 · 2 · 2 · 5 56 = 2 · 2 · 2 · 7 2 · 2 · 2 = 8 The GFC is 8. Write the prime factorization of each number and circle the common factors. Multiply the common prime factors. The LCM is · 2 · 2 · 5 · 7 8 · 5 · 7 40 · 7

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Insert Lesson Title Here B. 18, 36, = 2 · 3 · 3 36 = 2 · 2 · 3 · 3 2, 3, 3 2 · 3 · 3 6 · 3 18 The LCM is = 2 · 3 · 3 · 3 Find the GCF and LCM 18 · 2 · 3 36 · 3 The GCF is 18.

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Find the greatest common factor (GCF). Using Prime Factorization to Find the GCF Course Greatest Common Factor B. 252, 180, 96, = 2 · 2 · 3 · 3 · = 2 · 2 · 3 · 3 · 5 96 = 2 · 2 · 2 · 2 · 2 · 3 60 = 2 · 2 · 3 · 5 2 · 2 · 3 = 12 The GCF is 12. Write the prime factorization of each number and circle the common prime factors. Multiply the common prime factors.

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Insert Lesson Title Here Course Greatest Common Factor Find the greatest common factor (GCF). A. 72, = 2 · 2 · 2 · 9 84 = 2 · 2 · 7 · 3 2 · 2 = 4 The GCF is 4. Write the prime factorization of each number and circle the common factors. Multiply the common prime factors.

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Insert Lesson Title Here Course Greatest Common Factor Find the greatest common factor (GCF). B. 360, 250, 170, = 2 · 2 · 2 · 9 · = 2 · 5 · 5 · = 2 · 5 · = 2 · 2 · 2 · 5 2 · 5 = 10 The GCF is 10. Write the prime factorization of each number and circle the common prime factors. Multiply the common prime factors.

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Using Prime Factorization to Find the LCM Course Least Common Multiple Find the least common multiple (LCM). B. 14, 35, = 2 · 7 Write the prime factorization of each number. 35 = 5 · 7 2, 5, 7, 7 Circle the common prime factors. List the prime factors, using the circled factors only once. 2 · 5 · 7 · 7 Multiply the factors in the list. The LCM is = 7 · 7

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Insert Lesson Title Here Course Least Common Multiple Find the least common multiple (LCM). A. 50, = 2 · 5 · 5 Write the prime factorization of each number. 110 = 2 · 5 · 11 2, 5, 5, 11 Circle the common prime factors. List the prime factors, using the circled factors only once. 2 · 5 · 5 · 11 Multiply the factors in the list. The LCM is 550.

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Find the least common multiple (LCM). Using Prime Factorization to Find the LCM Course Least Common Multiple A. 60, = 2 · 2 · 3 · 5 Write the prime factorization of each number. 130 = 2 · 5 · 13 2, 2, 3, 5, 13 Circle the common prime factors. List the prime factors, using the circled factors only once. 2 · 2 · 3 · 5 · 13 Multiply the factors in the list. The LCM is 780.

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