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What is the algorithm of LCM of more than 3 numbers?

Updated: 8/20/2019
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11y ago

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If you use methods based on prime factors, it is the same whether you have 2, 3, or more numbers: find all the factors that occur in any of your numbers.

If you use a method based on Euclid's Algorithm (that is, lcm(a, b) = a x b / gcf(a, b), where you find the gcf with Euclid's Algorithm), then you can find the lcm for two numbers at a time. For example, to get the lcm of four numbers, find the lcm of the first two, then the lcm of the result and the third number, than the lcm of the result and the fourth number.

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Q: What is the algorithm of LCM of more than 3 numbers?
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Related questions

How can you determine if the least common multiple of 2 numbers is the product of the 2 numbers or less than the product of the 2 numbers?

If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.


What LCM goes onto 8 and 12?

None. The LCM of two (or more) numbers is at least as large as the numbers. This means that the LCM must be larger than the smallest of the set of numbers and so the LCM cannot go into it.


What is the LCM of the numbers 24 and by using the listing multiples method?

need more than one number an LCM..


How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product if the numbers?

By finding out whether they have any factors in common. If the only factor they have in common is 1, the LCM will be their product. If they have more factors in common, their LCM will be less than their product.


Which is greater gcf or LCM?

The LCM of two numbers will never be less than the GCF.


Prime numbers and LCM?

LCM is the multiple of the highest power of prime factors of two or more numbers. Since prime numbers have no other factors than themselves, the LCM of two or more prime numbers is their product. As an example, the LCM of 3, 5, and 53 is 3 x 5 x 53 = 795.


Is greater the LCM of the numbers or the numbers or the GCF of the numbers?

The LCM will never be less than the GCF of a set of numbers.


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Two or more numbers are needed to find their LCM


How can yo determine whether the LCM of two numbers is the product of the numbers or less than the product of the numbers?

If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.


How Can the LCM of a set of numbers can ever be smaller than the other numbers?

The LCM of a set of numbers can never be smaller than the largest number in the set.


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