Least Common Multiple Worksheets Free and Printable

By Christopher Rudolph

In mathematics, the Least Common Multiple (LCM) of two or more numbers is the smallest positive integer that is divisible by each of the given numbers. Put simply, it’s the smallest number that all the original numbers can divide into evenly. Understanding the LCM is crucial for various mathematical operations, including adding and subtracting fractions with different denominators.

To find the LCM of two numbers, one method is to list the multiples of each number until a common multiple is found. Alternatively, the LCM can be calculated using the prime factorization method, where you find the prime factors of each number and then take the highest power of each prime factor that appears in any of the numbers.

For example, let’s find the LCM of 6 and 8:

• The multiples of 6 are 6, 12, 18, 24, 30, …
• The multiples of 8 are 8, 16, 24, 32, …

Here, the smallest common multiple is 24. Therefore, the LCM of 6 and 8 is 24.

In summary, the LCM is the smallest multiple common to two or more given numbers, and it’s crucial for various mathematical operations involving fractions and beyond.

To master determining the Least Common Multiple, students should utilize Rudolph Academy Least Common Multiple Worksheets. These worksheets offer structured practice, aiding students in understanding the concept deeply. By completing these exercises, students can reinforce their knowledge, improve problem-solving skills, and build a strong foundation in mathematics essential for academic success. These Least Common Multiple Worksheets are printable and come with corresponding printable answer pages. Teachers, parents, and students can and make copies.

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LCM of Numbers 2-10 A
LCM of Numbers 2-10 A Answers
LCM of Numbers 2-10 B
LCM of Numbers 2-10 B Answers
LCM of Numbers 2-10 C
LCM of Numbers 2-10 C Answers
LCM of Numbers 2-20 A
LCM of Numbers 2-20 A Answers
LCM of Numbers 2-20 B
LCM of Numbers 2-20 B Answers
LCM of Numbers 2-20 C
LCM of Numbers 2-20 C Answers
LCM of Numbers 2-100 A
LCM of Numbers 2-100 A Answers
LCM of Numbers 2-100 B
LCM of Numbers 2-100 B Answers
LCM of Numbers 2-100 C
LCM of Numbers 2-100 C Answers

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