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HCF and LCM Video Lecture | Mathematics Class 6 ICSE

FAQs on HCF and LCM Video Lecture - Mathematics Class 6 ICSE

1. What is the difference between HCF and LCM?
Ans. HCF stands for Highest Common Factor, which is the largest number that divides two or more numbers without leaving a remainder. LCM stands for Lowest Common Multiple, which is the smallest number that is a multiple of two or more numbers. In simple terms, HCF is about common divisors, while LCM is about common multiples.
2. How do you find the HCF of two numbers?
Ans. To find the HCF of two numbers, you can use several methods, such as listing the factors, prime factorization, or the Euclidean algorithm. The simplest way is to list all the factors of both numbers and then identify the largest factor they share.
3. How do you find the LCM of two numbers?
Ans. To find the LCM of two numbers, you can either list the multiples of both numbers until you find the smallest common one or use prime factorization. For prime factorization, you take the highest power of each prime number that appears in the factorization of both numbers and multiply them together.
4. Why is it important to learn about HCF and LCM?
Ans. Learning about HCF and LCM is important because they are fundamental concepts in mathematics that help in solving problems related to fractions, ratios, and number theory. Understanding these concepts can also aid in real-life situations, such as finding common denominators or organizing items into groups.
5. Can HCF and LCM be applied to more than two numbers?
Ans. Yes, both HCF and LCM can be applied to more than two numbers. The process is similar: for HCF, you find the common factors of all the numbers and select the highest one. For LCM, you find the multiples of all numbers until you reach the smallest common multiple.
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