FAQs on Least Common Multiple (LCM)

Question 1

1. What is the definition of the least common multiple (LCM)?

Accepted Answer

Ans. The least common multiple (LCM) is the smallest positive integer that is divisible by two or more numbers without leaving a remainder.

Question 2

2. How is the LCM calculated for two or more numbers?

Accepted Answer

Ans. To calculate the LCM of two or more numbers, you can list the multiples of each number and find the smallest multiple that is common to all of them. Alternatively, you can use the prime factorization method by breaking down each number into its prime factors and then multiplying the highest power of each prime factor.

Question 3

3. Why is the LCM important in mathematics?

Accepted Answer

Ans. The LCM is important in mathematics as it helps in solving various problems involving fractions, ratios, and proportions. It is also used in concepts like adding and subtracting fractions with different denominators, finding the least common denominator, and solving equations with multiple variables.

Question 4

4. Can the LCM of two numbers be smaller than either of the numbers?

Accepted Answer

Ans. No, the LCM of two numbers cannot be smaller than either of the numbers. The LCM is always equal to or greater than the largest number among the given numbers. This is because the LCM must be divisible by each of the numbers.

Question 5

5. Can the LCM of three or more numbers be found using the LCM of two numbers?

Accepted Answer

Ans. Yes, the LCM of three or more numbers can be found using the LCM of two numbers. This can be done by finding the LCM of the first two numbers, and then finding the LCM of the result with the next number, and so on. This approach can be extended to any number of given numbers.

Least Common Multiple (LCM) Video Lecture - Advance Learner Course (Maths)

Advance Learner Course: Mathematics (Maths) Class 5

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