Class 10 Exam > Class 10 Videos > 04 - Least Common Multiple (LCM) - Class 10 - Maths
04 - Least Common Multiple (LCM) - Class 10 - Maths Video Lecture
FAQs on 04 - Least Common Multiple (LCM) - Class 10 - Maths Video Lecture
| 1. What is the meaning of LCM in mathematics? |  |
Ans. LCM stands for Least Common Multiple. In mathematics, LCM refers to the smallest multiple that is divisible by two or more given numbers. It is commonly used to find a common multiple of two or more numbers.
| 2. How is LCM calculated? | |
Ans. To calculate the LCM of two or more numbers, you can use either the prime factorization method or the division method. In the prime factorization method, you need to find the prime factors of each number and then multiply the highest power of each prime factor. In the division method, you divide each number by common prime factors until you are left with only prime numbers, and then multiply the divisors.
| 3. Why is LCM important in mathematics? | |
Ans. LCM is important in mathematics because it helps in solving various real-life problems. It is used in situations where finding the least common multiple of two or more numbers is required, such as in simplifying fractions, finding equivalent fractions, solving algebraic equations, and solving problems related to time and distance.
| 4. Can the LCM of two numbers be smaller than the numbers themselves? | |
Ans. No, the LCM of two numbers cannot be smaller than the numbers themselves. The LCM will always be equal to or greater than the numbers being considered. This is because the LCM represents the smallest multiple that is divisible by both numbers, so it must be at least as large as the numbers themselves.
| 5. How is LCM used in everyday life? | |
Ans. LCM is used in everyday life in various scenarios. For example, when planning schedules or timetables, LCM helps in determining the least common multiple of different time intervals. It is also used in calculating the time it takes for two people to meet at a certain point if they start from different locations and move at different speeds. Additionally, LCM is utilized in solving problems involving ratios and proportions, such as dividing a cake into equal parts among a group of people.
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