The LCM calculator will determine the least common multiple between two to six numbers. This calculation is essential when adding or subtracting fractions with unlike denominators. The text in this article will explain what is LCM, show how to find the least common multiple and show hot to use the least common multiple calculator.
The LCM is the least common multiple or lowest common multiple between two or more numbers. We can find the least common multiple by breaking down each number into its prime factors. This can be accomplished by hand or seeing the factor calculator or prime factorization calculator. The method for finding the LCM, along with an example illustrating such will be seen in the next section.
Take each numbers and find their prime factors. Knowing various divisibility rules helps assist in this process.
3, is also divisible by
4if the last two digits of the number form a number that is divisible by
0are divisible by
6if it is divisible by both
8if the last three digits of the number form a number that is divisible by
9is also divisible by
0is divisible by
Once the numbers are broken down to their prime factors, multiply the highest power of each factor to get the LCM.
We are going to show how to find the LCM of
121. First we'll get the factors of each number. This gives us
24 = 2 * 2 * 2 * 3,
80 = 2 * 2 * 2 * 2 * 5,
121 = 11 * 11. Gather all the factors, so we have
2, 3, 5, 11. Next multiply the highest power of each of these factors. That gives us
2 * 2 * 2 * 2 * 3 * 5 * 11 * 11 = 29,040. The LCM calculator can be used to check your answer or simply perform this calculation for you.
Just as you need prime factorization to get the LCM, it's equally important in finding the GCF, which is the greatest common factor. To find the GCF, take the product of all the common factors of each number. For example, the GCF of
2 since the only factor in common between the two numbers is
2. The GCF calculatoris a handy tool to calculate this.