How to Find the Least Common Multiple of Two Numbers in Grade 6
FAQs on Practice LCM of Two Numbers: Class 6 Maths Worksheet
1. What is the least common multiple of two numbers?
The Least Common Multiple (LCM) of two numbers is the smallest positive number that is a multiple of both numbers. To find the LCM, you can list the multiples of each number and identify the smallest one they have in common, which is a key skill taught in Class 6 Maths.
2. How do you solve LCM problems for Class 6?
To solve LCM problems for Class 6, students typically use one of two common methods, both of which are covered in this practice worksheet.
- Listing Multiples: Write out the multiplication table for both numbers until you find the first common multiple. For example, for 8 and 12, the LCM is 24.
- Prime Factorization: Find the prime factors of each number. Then, multiply the highest power of all prime factors that appear in either number's factorization to get the LCM.
3. What is the calculation for the LCM of 20 and 50?
The calculation for the LCM of 20 and 50 using the prime factorization method is as follows:
- First, write the prime factors of 20: 2 × 2 × 5 (or 2² × 5).
- Next, write the prime factors of 50: 2 × 5 × 5 (or 2 × 5²).
- Take the highest power of each prime factor present in the factorizations (2² and 5²).
- Multiply them together: 2² × 5² = 4 × 25 = 100.
Thus, the LCM of 20 and 50 is 100.
4. Is this LCM worksheet for Class 6 printable?
Yes, this Class 6 Maths LCM worksheet is available as a free, printable PDF. You can easily download the file and print it for students to use for homework, classroom practice, or revision.
5. Does this LCM practice worksheet include an answer key?
Yes, an answer key is provided with this LCM practice worksheet. Having the answers readily available allows parents and students to quickly check their work, correct any mistakes, and build confidence in solving LCM exercises.
6. What is the difference between LCM and HCF for Class 6?
The main difference between LCM and HCF in Class 6 Maths lies in what they represent for a set of numbers.
- LCM (Least Common Multiple): It is the smallest number that is a multiple of all the given numbers.
- HCF (Highest Common Factor): It is the largest number that can divide all the given numbers without leaving a remainder.
An LCM and HCF worksheet often covers both concepts to reinforce understanding of factors and multiples.
7. How can I use this worksheet at home?
This maths practice sheet is ideal for home use to support your child's learning. Simply download and print the worksheet. Your child can solve the problems independently to practice finding the least common multiple, or you can assist them to reinforce the concepts taught in school.
8. What skills does this LCM worksheet help build?
This lcm worksheet for class 6 helps students develop several fundamental maths skills beyond just finding the LCM. Regular practice with these exercises enhances:
- Factorization skills: Breaking numbers down into prime factors.
- Multiplication fluency: Strengthening knowledge of multiplication tables.
- Number sense: Understanding the relationships between numbers.
- Logical reasoning: Applying a step-by-step process to solve problems.
9. What is the LCM of 2 and 6?
The LCM of 2 and 6 is 6. This is because 6 is the smallest number that is a multiple of both 2 and 6.
- Multiples of 2 are: 2, 4, 6, 8, 10...
- Multiples of 6 are: 6, 12, 18...
The first number to appear in both lists is 6.
10. Why is learning LCM important in Class 6 Maths?
Learning the Least Common Multiple (LCM) is a critical part of the Class 6 Maths curriculum because it is a foundational skill for more advanced topics. It is especially important for adding and subtracting fractions with different denominators, as finding a common denominator requires calculating the LCM. Mastering factors and multiples helps build a strong base for future mathematical concepts.
