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LCM of 806, 702, 392, 388, 856

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


Find the LCM of 806, 702, 392, 388, 856 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 806, 702, 392, 388, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 806,702,392,388,856

Given numbers are 806,702,392,388,856

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

The LCM of 806,702,392,388,856 is 44270088408.

Find LCM of 806,702,392,388,856 with Prime Factorization


2 806, 702, 392, 388, 856
2 403, 351, 196, 194, 428
2 403, 351, 98, 97, 214
13 403, 351, 49, 97, 107
31, 27, 49, 97, 107

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

2 x 2 x 2 x 13 x 31 x 27 x 49 x 97 x 107 = 44270088408

Therefore, the lowest common multiple of 806,702,392,388,856 is 44270088408.

LCM Formula to Find Lowest Common Multiple of 806,702,392,388,856

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.

806 x 702 x 392 x 388 x 856 = 73665427110912

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.

806 : 1, 2, 13, 26, 31, 62, 403, 806

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

388 : 1, 2, 4, 97, 194, 388

856 : 1, 2, 4, 8, 107, 214, 428, 856

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,702,392,388,856, is 2.

Now, the common factors can be found like this.

806:2x 13x 31

702:2x 3x 3x 3x 13

392:2x 2x 2x 7x 7

388:2x 2x 97

856:2x 2x 2x 107

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

2x 2x 2x 2x 2x 2x 13 = 832

Therefore, the value for common factors is 832.

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 = 73665427110912/(2x832)

LCM = 73665427110912/1664

LCM = 44270088408

Thus, we can understand that the LCM of 806,702,392,388,856 is 44270088408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 806, 702, 392, 388, 856

1. What is the LCM of 806, 702, 392, 388, 856?

Answer: LCM of 806, 702, 392, 388, 856 is 44270088408.

2. How to calculate the LCM of 806, 702, 392, 388, 856?

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 806, 702, 392, 388, 856.

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}.