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This is the second topic in JSS 1 first-term Mathematics. Learn the meaning of highest common factor and lowest common multiple, study worked examples, then take the 20-question CBT quiz on the page.
HCF means Highest Common Factor. LCM means Lowest Common Multiple. These help in grouping, sharing, and finding common sizes in Mathematics.
First Term Mathematics lesson content prepared in a clear and student-friendly web book format.
20 multiple-choice questions, 10-minute countdown, auto scoring, answer corrections, and email score prompt.
Highest Common Factor (HCF) is the greatest number that can divide two or more numbers exactly.
Lowest Common Multiple (LCM) is the smallest number that is a multiple of two or more numbers.
HCF is used when we want to share items into equal groups without remainder. LCM is used when we want to find when events repeat together or when items meet at the same time.
Factors of 12: 1, 2, 3, 4, 6, 12. Factors of 18: 1, 2, 3, 6, 9, 18. The highest common factor is 6.
Multiples of 4: 4, 8, 12, 16, 20, ... Multiples of 6: 6, 12, 18, 24, ... The lowest common multiple is 12.
Factors of 15: 1, 3, 5, 15. Factors of 25: 1, 5, 25. The HCF is 5.
Multiples of 3: 3, 6, 9, 12, 15, ... Multiples of 5: 5, 10, 15, 20, ... The LCM is 15.
Factors of 8: 1, 2, 4, 8. Factors of 12: 1, 2, 3, 4, 6, 12. HCF is 4. Multiples show the LCM is 24.
20 questions | 10 minutes | Quiz runs on this page.
To find the HCF, list factors or use prime factorization. To find the LCM, list multiples or use prime factors. Practice both methods until you can answer quickly and correctly.
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