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LCM of 801, 184, 706, 323, 839

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


Find the LCM of 801, 184, 706, 323, 839 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 801, 184, 706, 323, 839. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 801,184,706,323,839

Given numbers are 801,184,706,323,839

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

The LCM of 801,184,706,323,839 is 14099039512344.

Find LCM of 801,184,706,323,839 with Prime Factorization


2 801, 184, 706, 323, 839
801, 92, 353, 323, 839

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

2 x 801 x 92 x 353 x 323 x 839 = 14099039512344

Therefore, the lowest common multiple of 801,184,706,323,839 is 14099039512344.

LCM Formula to Find Lowest Common Multiple of 801,184,706,323,839

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.

801 x 184 x 706 x 323 x 839 = 28198079024688

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.

801 : 1, 3, 9, 89, 267, 801

184 : 1, 2, 4, 8, 23, 46, 92, 184

706 : 1, 2, 353, 706

323 : 1, 17, 19, 323

839 : 1, 839

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,184,706,323,839, is 1.

Now, the common factors can be found like this.

801:3x 3x 89

184:2x 2x 2x 23

706:2x 353

323:17x 19

839:839

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

2 = 2

Therefore, the value for common factors is 2.

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 = 28198079024688/(1x2)

LCM = 28198079024688/2

LCM = 14099039512344

Thus, we can understand that the LCM of 801,184,706,323,839 is 14099039512344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 801, 184, 706, 323, 839

1. What is the LCM of 801, 184, 706, 323, 839?

Answer: LCM of 801, 184, 706, 323, 839 is 14099039512344.

2. How to calculate the LCM of 801, 184, 706, 323, 839?

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 801, 184, 706, 323, 839.

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}.