Practice and Revision - HCF and LCM
Let us practise and revise what we learned about hcf and lcm. HCF (Highest Common Factor) and LCM (Lowest Common Multiple) help us find the
Core concept
HCF is the largest number that divides two or more numbers exactly, found by listing factors or using prime factorisation.
How it works
LCM is the smallest number that is a multiple of two or more numbers, found by listing multiples or using prime factorisation.
Why it matters
HCF is useful for simplifying fractions to their lowest terms and solving problems involving equal grouping.
Key detail
LCM is useful for finding a common denominator when adding or subtracting fractions with different denominators.
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Quick notes
• HCF: largest number dividing numbers exactly.
• Found via factors or prime factorisation.
• LCM: smallest common multiple of numbers.
• Found via multiples or prime factorisation.
• HCF simplifies fractions to lowest terms.
• It also helps equal grouping problems.
• LCM finds common denominators.
• This helps add/subtract different-denominator fractions.