Factor/Lowest Common Multiple

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Bertram Austin
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a) 16 and 24 Find the prime factors of 16 and 24 that match up and strike out any others: 16 2 24 Multiply the common

1 Learning Enhancement Team Model Answers: Highest Common Factor/Lowest Common Multiple Highest Common Factor study guide Lowest Common Multiple study guide 1. a) 16 and 24 Find the prime factors of 16 and 24 that match up and strike out any others: Multiply the common prime factors to find the : 16, Using the same list of prime factors, delete the common factors which appear in the Multiply the remaining numbers from both lists together to find the. 16,24 48

2 b) and 1 Find the prime factors of and 1 that match up and strike out any others: 1 1 There are no common prime factors and so:,1 1 Using the same list of prime factors, there are no common factors to delete and so you multiply all the prime factors together to find the :,1 1 c) 12 and 1 Find the prime factors of 12 and 1 that match up and strike out any others: There is one common prime factor and so the is: 12,1 Using the same list of prime factors, delete the common factor which appears in the Multiply the remaining numbers from both lists together to find the. 12,1 60

3 d) and 60 Find the prime factors of and 60 that match up and strike out any others: 60 There is one common prime factor and so the is:,60 Using the same list of prime factors, delete the common factor which appears in the 60 Multiply the remaining numbers from both lists together to find the., e) 90 and 1 Find the prime factors of 90 and 1 that match up and strike out any others: 90 1 There is one common prime factor and so the is: 90,1 Using the same list of prime factors, delete the common factor which appears in the 90 1

4 Multiply the remaining numbers from both lists together to find the. 90,1 10 f) 20 and 46 Find the prime factors of 20 and 46 that match up and strike out any others: Multiply the common prime factors to find the : 20,46 6 Using the same list of prime factors, delete the common factors which appear in the Multiply the remaining numbers from both lists together to find the. 20, g) 0 and 62 Find the prime factors of 0 and 62 that match up and strike out any others: 0 62 Multiply the common prime factors to find the : 0,6 14 Using the same list of prime factors, delete the common factors which appear in the

5 0 62 Multiply the remaining numbers from both lists together to find the. 20, h) 4 and 6 and 12 Find the prime factors of 4 and 6 and 12 that match up and strike out any others: There is one common prime factor and so the is: 4,6,1 2 Using the same list of prime factors of the two smallest numbers 4 and 6, delete the common factor which appears in the Multiply the remaining numbers from both lists together to find the. 4,6 12 Now, the lowest common multiple of 12 and the remaining number, which is also 12, is obviously 12. So 4,6, You can use the common factors from the previous questions to help cancel down these fractions.

6 a) From question 1a: Cancelling down the highest common factor gives the fraction in its simplest form b) From question 1f: Cancelling down the highest common factor gives the fraction in its simplest form c) From questions 1a and 1f: Cancelling down the highest common factor gives the fraction in its simplest form: d) From questions 1g:

$Cancelling down the highest common factor gives the fraction in its simplest form: 0 62 14 2 14 48 2 48 e) From question 1e: 90 18 1$ $62 24 28 Cancelling down the highest common factor gives the fraction in its simplest form: 46 62 24 19 24 28 19 28 These model$

7 Cancelling down the highest common factor gives the fraction in its simplest form: e) From question 1e: Cancelling down the highest common factor gives the fraction in its simplest form: f) From questions 1f and 1g: Cancelling down the highest common factor gives the fraction in its simplest form: These model answers are one of a series on mathematics produced by the Learning Enhancement Team. Scan the QR-code with a smartphone app for more resources.

Lower School Entrance Exam 2015 MATHEMATICS Hour

Lower School Entrance Exam 2015 MATHEMATICS 13+ 1 Hour Name:... School:... Date:... Instructions to Candidates: Calculators may not be used Attempt all questions Show ALL working Check your answers for