How to Find the LCM of Two Numbers: Step-by-Step for Grade 6
FAQs on Least Common Multiple (LCM) Worksheet for Class 6: 2 Numbers Between 2 and 30
1. How do you solve LCM problems for class 6?
To solve LCM problems for Class 6, students typically use two primary methods, which are reinforced in this practice worksheet.
- Listing Multiples: Write down the multiples of each number until you find the first common multiple. For example, for 4 and 6, multiples of 4 are (4, 8, 12, 16...) and multiples of 6 are (6, 12, 18...). The LCM is 12.
- Prime Factorization: Find the prime factors of each number. Then, multiply the highest power of each prime factor that appears in either factorization. For example, for 12 (2² x 3) and 18 (2 x 3²), the LCM is 2² x 3² = 36.
2. What is the least common multiple (LCM) of two numbers?
The least common multiple (LCM) of two numbers is the smallest positive number that is a multiple of both of those numbers. It is the smallest number into which both given numbers can be divided exactly.
- For example, the LCM of 8 and 12 is 24, because 24 is the smallest number that both 8 and 12 can divide into without a remainder.
3. Does this printable LCM worksheet for numbers 2 to 30 include an answer key?
Yes, this printable LCM worksheet comes with a complete and detailed answer key. The solutions allow students to check their work independently, understand the step-by-step process, and correct their mistakes, which is perfect for self-assessment and homework practice.
4. Why is LCM important in maths?
The concept of LCM is very important in maths, especially for Grade 6 students, as it is a foundational skill for several advanced topics. Its primary applications include:
- Adding and Subtracting Fractions: LCM is used to find the lowest common denominator when working with fractions that have different denominators.
- Solving Word Problems: It helps in solving real-life problems related to events that repeat in cycles, like finding when two alarms will ring at the same time again.
- Number Theory: It is a core concept in understanding the relationships between numbers.
5. What is the least common multiple of 2 and 30?
The least common multiple (LCM) of 2 and 30 is 30. This is because 30 is the smallest number that can be exactly divided by both 2 and 30.
- 30 ÷ 2 = 15 (divides exactly)
- 30 ÷ 30 = 1 (divides exactly)
6. What skills are built by this Class 6 LCM worksheet?
This Class 6 Maths LCM worksheet helps students develop several essential mathematical skills beyond just finding the LCM. By completing the exercises, students will improve their:
- Multiplication and Division: Reinforces knowledge of multiplication tables.
- Prime Factorization: Builds practice in breaking down numbers into their prime factors.
- Problem-Solving: Enhances logical thinking to find the smallest common multiple efficiently.
- Number Sense: Develops a deeper understanding of the relationships between numbers.
7. How does this worksheet help with LCM practice for numbers from 2 to 30?
This worksheet provides targeted practice for finding the LCM of two numbers within the specific range of 2 to 30. This focused approach helps students master the concept with manageable numbers before moving on to larger, more complex problems, building a strong foundation for their exams.
8. What is the difference between LCM and HCF (GCF)?
The main difference is that LCM finds the smallest multiple shared by numbers, while HCF (or GCF) finds the largest factor that divides them.
- LCM (Least Common Multiple): The smallest number that both numbers can divide into. The LCM is always equal to or greater than the largest number.
- HCF (Highest Common Factor): The largest number that can divide both numbers without a remainder. The HCF is always equal to or smaller than the smallest number.
9. How can I use this worksheet at home for my child?
This worksheet is an excellent resource for parents to use at home for extra practice. You can download the free PDF LCM worksheet, print it out, and have your child complete the exercises as homework or as a review before a test. The included answer key allows you to easily check their work and help them with any difficult questions.
10. Is this LCM worksheet aligned with the Class 6 curriculum?
Yes, this LCM worksheet for Grade 6 is fully aligned with the standard curriculum guidelines for mathematics. It focuses on the core concept of finding the least common multiple of 2 numbers, a key topic in the Class 6 syllabus, ensuring that the practice is relevant and beneficial for school assignments and examinations.
