Find the Least Common Multiple (LCM) of 3 Numbers – Class 6 Maths Worksheets

The least common multiple (LCM) of 2, 3, and 6 is 6. This is because 6 is the smallest positive number that can be divided by 2, 3, and 6 without leaving a remainder.

• Multiples of 2 are 2, 4, 6, 8, 10, 12...
• Multiples of 3 are 3, 6, 9, 12...
• Multiples of 6 are 6, 12, 18...

The first common multiple in all three lists is 6, making it the lcm of 2 3 and 6.

This LCM worksheet for Class 6 is designed for easy use at home to provide extra practice and reinforce concepts. Parents can download the free printable lcm problems PDF and either print it out or have their child use it on a tablet.

• First, encourage your child to solve the problems independently.
• Then, use the provided answer key to review their work together.
• This is perfect for homework, revision sessions, or exam preparation.

Yes, this LCM worksheet for Class 6 comes with answers. A detailed, step-by-step answer key is included with the downloadable PDF to help students and parents check the solutions easily.

• The answer key allows for immediate feedback and error correction.
• It helps build confidence by letting students verify their methods for finding the least common multiple.

Absolutely, this worksheet is designed to be fully printable. The lcm worksheet pdf is formatted for standard A4 paper, making it convenient for parents and teachers to print for classroom or home use. Its print-friendly layout ensures all text and tables are clear and easy to read.

Finding the LCM of three numbers using the prime factorization method involves a clear, step-by-step process. This method is a core skill taught in the CBSE grade 6 curriculum.

1. Find Prime Factors: Break down each of the three numbers into its prime factors.
2. Identify Highest Powers: For each unique prime factor present across the three numbers, identify its highest power (i.e., how many times it is multiplied by itself).
3. Multiply: Multiply these highest powers together to get the LCM.

For example, to find the LCM of 8, 12, and 18: 8 = 2³, 12 = 2² x 3¹, 18 = 2¹ x 3². The highest power of 2 is 2³ and the highest power of 3 is 3². The LCM is 2³ x 3² = 8 x 9 = 72.

This Class 6 maths worksheet is designed to build several fundamental mathematical skills beyond just calculating the LCM. Consistent practice helps students strengthen their overall number sense and problem-solving abilities.

• Prime Factorization: Reinforces the ability to break numbers down into their prime components.
• Divisibility Rules: Improves speed and accuracy in checking which numbers divide others.
• Number Systems: Deepens understanding of multiples and factors.
• Procedural Fluency: Develops confidence in applying a multi-step process to solve problems.

The Least Common Multiple (LCM) of 2 and 30 is 30. This is because 30 is the smallest number that is a multiple of both 2 and 30.

• Since 30 is already a multiple of 2 (2 x 15 = 30), it is automatically the LCM.
• Practicing such problems helps in understanding multiples and factors for Class 6 maths.

Understanding how to find the LCM of three numbers is a crucial skill in mathematics that is applied in several other topics. It is not just an isolated concept but a foundational tool for more advanced problems.

• Adding and Subtracting Fractions: The most common use is to find a common denominator when adding or subtracting three or more fractions with different denominators.
• Word Problems: It helps in solving problems related to events happening at regular intervals, like finding when three bells will ring together again.
• Number Theory: It builds a strong foundation for understanding relationships between numbers as per the NCERT curriculum.

This worksheet is specifically designed for Class 6 students, who are typically between the ages of 10 and 12. The content and difficulty level are aligned with the learning objectives of the CBSE and other major educational boards for this grade level, focusing on the lcm of 3 numbers 2-30.