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Infographics: HCF & LCM
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Page 1 HCF & LCM Understanding how numbers work together is like solving a fun puzzle! Let's explore two important concepts that help us find patterns in numbers. HCF (Highest Common Factor) The biggest number that divides two or more numbers completely. It helps us share things equally! LCM (Lowest Common Multiple) The smallest number that is a multiple of two or more numbers. Perfect for matching patterns! 0 1 Prime Numbers Numbers like 2, 3, 5, 7, 11 that can only be divided by 1 and themselves 0 2 Composite Numbers Numbers like 4, 6, 8, 9 that can be broken into smaller factors 0 3 Co-prime Numbers Pairs of numbers like (3, 4) that share no common factors except 1 Finding HCF Example: HCF of 18 and 24 Factors of 18: 1, 2, 3, 6, 9, 18 Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Common factors: 1, 2, 3, 6 HCF = 6 (the highest!) Finding LCM Example: LCM of 4 and 6 Multiples of 4: 4, 8, 12, 16, 20... Multiples of 6: 6, 12, 18, 24... Common multiples: 12, 24... LCM = 12 (the smallest!) 1 Prime Factorisation Method Break numbers into prime factors. For HCF, multiply common factors with lowest powers. For LCM, multiply all factors with highest powers. 2 Division Method For HCF, keep dividing the larger number by smaller until remainder is zero. For LCM, divide by prime numbers and multiply all divisors. 1 Special Number 1 is neither prime nor composite4it's unique! 2 Only Even Prime 2 is the only even number that is prime 3,5,7 Prime Triplet The only set of three primes differing by 2 D Remember This! Product of two numbers = HCF × LCM This magical formula connects HCF and LCM together!Read More
FAQs on Infographics: HCF & LCM
| 1. What is the difference between HCF and LCM? |  |
Ans. HCF, or Highest Common Factor, is the largest number that divides two or more numbers without leaving a remainder. LCM, or Lowest Common Multiple, is the smallest number that is a multiple of two or more numbers. In summary, HCF is about finding common divisors, while LCM focuses on common multiples.
| 2. How can I find the HCF of two numbers? | |
Ans. To find the HCF of two numbers, you can use the prime factorisation method or the division method. In prime factorisation, you break down both numbers into their prime factors and multiply the common factors. In the division method, you repeatedly divide the larger number by the smaller number until the remainder is zero; the last divisor used is the HCF.
| 3. How do I calculate the LCM of two numbers? | |
Ans. The LCM can be calculated using the prime factorisation method or the relationship between HCF and LCM. In the prime factorisation method, you list out the prime factors of both numbers, taking the highest power of each prime factor. Alternatively, you can use the formula: LCM = (Product of the numbers) / HCF.
| 4. Can HCF and LCM be found for more than two numbers? | |
Ans. Yes, both HCF and LCM can be calculated for more than two numbers. For HCF, you can find the HCF of the first two numbers and then use that result to find the HCF with the next number, continuing this process until all numbers are included. Similarly, for LCM, you can find the LCM of the first two numbers, then use that result to find the LCM with the next number, and so on.
| 5. Why are HCF and LCM important in mathematics? | |
Ans. HCF and LCM are important because they help in solving problems related to fractions, ratios, and divisibility. HCF is useful in simplifying fractions, while LCM is helpful in finding common denominators when adding or subtracting fractions. Understanding these concepts is essential for tackling various mathematical problems effectively.
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Apr 29, 2026 Last updated
Document Description: Infographics: HCF & LCM for Class 5 2026 is part of Mathematics for Class 5 preparation. The notes and questions for Infographics: HCF & LCM have been prepared according to the Class 5 exam syllabus. Information about Infographics: HCF & LCM covers topics like and Infographics: HCF & LCM Example, for Class 5 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Infographics: HCF & LCM.
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