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LCM of 582, 859, 739, 993, 881

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 582, 859, 739, 993, 881 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 582, 859, 739, 993, 881. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 582,859,739,993,881

Given numbers are 582,859,739,993,881

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 582,859,739,993,881 is 107736903467202.

Find LCM of 582,859,739,993,881 with Prime Factorization


3 582, 859, 739, 993, 881
194, 859, 739, 331, 881

Multiply the prime numbers at the bottom and the left side.

3 x 194 x 859 x 739 x 331 x 881 = 107736903467202

Therefore, the lowest common multiple of 582,859,739,993,881 is 107736903467202.

LCM Formula to Find Lowest Common Multiple of 582,859,739,993,881

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

582 x 859 x 739 x 993 x 881 = 323210710401606

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

582 : 1, 2, 3, 6, 97, 194, 291, 582

859 : 1, 859

739 : 1, 739

993 : 1, 3, 331, 993

881 : 1, 881

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,859,739,993,881, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

859:859

739:739

993:3x 331

881:881

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 323210710401606/(1x3)

LCM = 323210710401606/3

LCM = 107736903467202

Thus, we can understand that the LCM of 582,859,739,993,881 is 107736903467202.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 582, 859, 739, 993, 881

1. What is the LCM of 582, 859, 739, 993, 881?

Answer: LCM of 582, 859, 739, 993, 881 is 107736903467202.

2. How to calculate the LCM of 582, 859, 739, 993, 881?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 582, 859, 739, 993, 881.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.