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Published byCharity Andrews Modified over 7 years ago

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Chapter 5.1-5.3

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Do you remember? The definition of: prime number? factor? prime factor? common factor? greatest common factor? multiple? common multiple? least common multiple? Write these definitions in your own words on your MMC worksheet.

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Let’s see if you were correct. Match the terms to the definitions shown below. A whole number greater than 1 whose only factors are 1 and itself A number that is multiplied by another number to find a product Prime numbers that are factors of an integer A number that is a factor of two or more numbers The greatest factor that two or more numbers have in common The product of a given whole number and another whole number A number that is a multiple of two or more numbers The smallest number, other than zero, that is a common multiple of two or more numbers Prime Number Factor Common Factor GCF Common Multiple LCM Prime Factor Multiple

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Find the GCF and LCM of 24 and 60 Use a factor tree to help you find the Prime Factors Then a Venn Diagram to help you find the GCF and LCM

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FACTOR TREES 24 60 4 6 4 15 2223 2235 Prime Factors have now been found.

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Prime Factors 24 = 2 x 2 x 2 x 3 60 = 2 x 2 x 3 x 5 We now need to find the GCF - Greatest Common Factor

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24 60 Venn Diagram 24 = 2 x 2 x 2 x 3 60 = 2 x 2 x 3 x 5 2 2 3 2 5 GCF = 2 x 2 x 3 = 12 LCM = 2 x 2 x 2 x 3 x 5 = 120 GCF is the region of intersection 2 x 2 x 3 = 12

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FACTOR TREES 24 60 4 6 4 15 2223 2235 Prime Factors have now been found.

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Prime Factors 24 = 2 x 2 x 2 x 3 60 = 2 x 2 x 3 x 5 Now we need to find the LCM - Least Common Multiple

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24 60 Venn Diagram 24 = 2 x 2 x 2 x 3 60 = 2 x 2 x 3 x 5 2 2 3 2 5 GCF = 2 x 2 x 3 = 12 LCM = 2 x 2 x 2 x 3 x 5 = 120 LCM is all the numbers in the circles multiplied together 2 x 2 x 2 x 3 x 5=120

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The LCM of two or more numbers is the smallest number that is a multiple of each of the numbers. 24 x 5 =120 60 x 2 =120 or you could write out the multiples of 24 and 60 24, 48, 72, 96, 120, 144,…. 60, 120, 180, 240, 300,.... The GCF of two or more numbers is the largest number that divides exactly into each of them. 24 ÷ 12 = 2 60 ÷ 12 = 5

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1. 6 and 15 2. 20 and 30 3. 14 and 42 4. 24, 30 and 54

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Find the GCF and LCM of the following: Answers: 1.GCF = 3, LCM = 30 2.GCF = 10, LCM = 60 3.GCF = 14, LCM = 42 4.GCF = 6, LCM = 1080

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