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Factors and Multiples

Factors and Multiples. HCF and LCM. HCF and LCM. What are HCF and LCM? HCF stands for H ighest C ommon F actor LCM stands for L owest C ommon M ultiple. You will need to understand Prime Factors. View the Prime Factors slideshow before preceding if necessary. HCF and LCM.

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Factors and Multiples

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  1. Factors and Multiples HCF and LCM

  2. HCF and LCM What are HCF and LCM? HCF stands for Highest Common Factor LCM stands for Lowest Common Multiple

  3. You will need to understand Prime Factors. View the Prime Factors slideshow before preceding if necessary. HCF and LCM The Highest Common Factor is the highest number that is a factor of both/all of the numbers given in the question. The Lowest Common Multiple is the lowest number that is a multiple of both/all of the numbers given in the question.

  4. HCF and LCM 36 182 24 122 Example question: What is the HCF and LCM of 24 and 36? You need to find 24 and 36 as products of their prime factors: 9 2 6 2 33 2 x 2 x 3 x 3 = 36 32 2 x 2 x 2 x 3 = 24

  5. HCF and LCM • Next you need to put your prime factors into a Venn diagram: • 2 x 2 x 3 x 3 = 36 • 2 x 2 x 2 x 3 = 24 24 36

  6. HCF and LCM • Find all numbers that appear in both equations, i.e. both equations share two 2’s and a 3. These go in the overlapping part of the circle. Any remaining numbers in the equations go into the relevant circle: • 2 x 2 x 2 x 3 = 24 • 2 x 2 x 3 x 3 = 36 24 36 2 3 2 2 3

  7. HCF and LCM • To find the HCF, multiply all the numbers that appear in the overlapping area: • To find the LCM, multiple all the numbers that appear in the whole Venn diagram: 2 x 2 x 3 = 12 2 x 2 x 2 x 3 x 3 = 120 24 36 2 3 2 2 3

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