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LCM of 865, 638, 412, 511, 802

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


Find the LCM of 865, 638, 412, 511, 802 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 865, 638, 412, 511, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 865,638,412,511,802

Given numbers are 865,638,412,511,802

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

The LCM of 865,638,412,511,802 is 23295352115420.

Find LCM of 865,638,412,511,802 with Prime Factorization


2 865, 638, 412, 511, 802
865, 319, 206, 511, 401

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

2 x 865 x 319 x 206 x 511 x 401 = 23295352115420

Therefore, the lowest common multiple of 865,638,412,511,802 is 23295352115420.

LCM Formula to Find Lowest Common Multiple of 865,638,412,511,802

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.

865 x 638 x 412 x 511 x 802 = 93181408461680

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.

865 : 1, 5, 173, 865

638 : 1, 2, 11, 22, 29, 58, 319, 638

412 : 1, 2, 4, 103, 206, 412

511 : 1, 7, 73, 511

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,638,412,511,802, is 1.

Now, the common factors can be found like this.

865:5x 173

638:2x 11x 29

412:2x 2x 103

511:7x 73

802:2x 401

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 93181408461680/(1x4)

LCM = 93181408461680/4

LCM = 23295352115420

Thus, we can understand that the LCM of 865,638,412,511,802 is 23295352115420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 865, 638, 412, 511, 802

1. What is the LCM of 865, 638, 412, 511, 802?

Answer: LCM of 865, 638, 412, 511, 802 is 23295352115420.

2. How to calculate the LCM of 865, 638, 412, 511, 802?

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 865, 638, 412, 511, 802.

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}.