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Introduction: LCM & HCF Video Lecture | UPSC CSAT: Crash Course (English)
FAQs on Introduction: LCM & HCF Video Lecture - UPSC CSAT: Crash Course (English)
| 1. What is the full form of LCM and HCF? |  |
Ans. The full form of LCM is "Least Common Multiple" and the full form of HCF is "Highest Common Factor".
| 2. How do you calculate the LCM of two numbers? | |
Ans. To calculate the LCM (Least Common Multiple) of two numbers, you can use either the prime factorization method or the division method. In the prime factorization method, you find the prime factors of both numbers and multiply them together, considering the highest power of each prime factor. In the division method, you divide the product of the two numbers by their HCF (Highest Common Factor).
| 3. What is the significance of LCM and HCF in mathematics? | |
Ans. LCM (Least Common Multiple) and HCF (Highest Common Factor) are important concepts in mathematics. LCM helps in finding the smallest common multiple of two or more numbers, which is useful in solving problems related to fractions, ratios, and proportions. HCF, on the other hand, helps in finding the largest common factor of two or more numbers, which is useful in simplifying fractions and finding the smallest common denominator.
| 4. Can the LCM of two numbers be smaller than the smaller number? | |
Ans. No, the LCM (Least Common Multiple) of two numbers cannot be smaller than the smaller number itself. The LCM is always equal to or greater than the largest number among the given numbers. This is because the LCM is the smallest multiple that is divisible by both numbers, so it must be at least as large as the largest number.
| 5. Is it possible for two numbers to have the same LCM and HCF? | |
Ans. Yes, it is possible for two numbers to have the same LCM (Least Common Multiple) and HCF (Highest Common Factor). This happens when the two numbers are equal. In such cases, the LCM and HCF of the numbers will be equal to the numbers themselves.
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Dec 18, 2024 Last updated |
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