LauraMcC Answer has 4 votes. LauraMcC 14 year member replies Answer has 4 votes. Currently voted the best answer. The lowest common multiple LCM is the lowest number that is a multiple of two numbers.
For example, multiples of 2 are 2, 4, 6, 8 etc, and multiples of 3 are 3, 6, 9, 12 etc, so the LCM of 2 and 3 is 6. This is most commonly used when adding, subtracting etc fractions with different denominators. For example, factors of 12 are 1, 2, 3, 4, 6 and 12, and factors of 15 are 1, 3, 5 and 15, so the GCF of 12 and 15 is 3. These are most commonly used to simplify fractions. Get a new mixed Fun Trivia quiz each day in your email.
There is no need to resubmit your comment. Notify me of followup comments via e-mail. Written by : lancexpx. User assumes all risk of use, damage, or injury. You agree that we have no liability for any damages. For example, the numbers 10 and 15 are broken down as such: 1, 2, 5 1, 3, 5, 15 When we take both sets of factors into consideration it is plain to see that the greatest prime integer shared by both numbers is 5 —it can only be divided by itself and 1 and it shows up in both 10 and For example, when creating a list of the multiples of 6 and 9: 6: 6, 12, 18, 24, 30… 9: 9, 18, 27, 36, 45… As we can see, the lowest integer shared by both 6 and 9 is 18 —it is divisible by 1, 6, 9, and itself.
Author Recent Posts. Latest posts by lancexpx see all. But in all honesty, they require the same math process, so many teachers and students use these two phrases as synonyms. But, regardless of what the technique is called, the process for finding the greatest common factor and the least common multiple is very straightforward.
Together we will work through various exercises involving two and three numbers to master the techniques of finding the GCF and LCM and never getting them mixed up. Prime factorization can also be used to determine the greatest common factor. However, rather than multiplying all the prime factors like we did for the least common multiple, we will multiply only the prime factors that the numbers share.
The resulting product is the greatest common factor. The least common multiple of 45 and 60 is Show Answer. The least common multiple is a number greater than or equal to the numbers being considered. The least common multiple is greater than or equal to the numbers being considered, while the greatest common factor is equal to or less than the numbers being considered. The two most common strategies involve making a list, or using the prime factorization.
Similarly, the GCF can be found by listing the factors of each number, and then identifying the greatest factor that is shared. For large numbers, it is most efficient to use the prime factorization technique. For example, when finding the LCM, start by finding the prime factorization of each number this can be done by creating a factor tree. Circle the factors that are in common and only count these once. When finding the GCF, start by listing the prime factorization of each number this can be done by creating a factor tree.
Now simply multiply all of the factors that are shared by both numbers. The prime factorization approach can seem like a fairly lengthy process, but when working with large numbers it is guaranteed to be a time-saver.
There are two main strategies for finding the GCF: Listing the factors, or using the prime factorization. The first strategy involves simply listing the factors of each number, and then looking for the greatest factor that is shared by both numbers. Listing the factors of each number and then identifying the largest factor in common works well for small numbers. However, when finding the GCF of very large numbers it is more efficient to use the prime factorization approach.
Now look for the factors that are shared by both numbers. This strategy is often more efficient when finding the GCF of really large numbers. The GCF is defined as the largest number that is a factor of two or more numbers.
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