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LCM of 326, 986, 642, 808

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


Find the LCM of 326, 986, 642, 808 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 326, 986, 642, 808. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,986,642,808

Given numbers are 326,986,642,808

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

The LCM of 326,986,642,808 is 20842553112.

Find LCM of 326,986,642,808 with Prime Factorization


2 326, 986, 642, 808
163, 493, 321, 404

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

2 x 163 x 493 x 321 x 404 = 20842553112

Therefore, the lowest common multiple of 326,986,642,808 is 20842553112.

LCM Formula to Find Lowest Common Multiple of 326,986,642,808

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.

326 x 986 x 642 x 808 = 166740424896

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.

326 : 1, 2, 163, 326

986 : 1, 2, 17, 29, 34, 58, 493, 986

642 : 1, 2, 3, 6, 107, 214, 321, 642

808 : 1, 2, 4, 8, 101, 202, 404, 808

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,986,642,808, is 2.

Now, the common factors can be found like this.

326:2x 163

986:2x 17x 29

642:2x 3x 107

808:2x 2x 2x 101

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 = 166740424896/(2x4)

LCM = 166740424896/8

LCM = 20842553112

Thus, we can understand that the LCM of 326,986,642,808 is 20842553112.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 986, 642, 808

1. What is the LCM of 326, 986, 642, 808?

Answer: LCM of 326, 986, 642, 808 is 20842553112.

2. How to calculate the LCM of 326, 986, 642, 808?

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 326, 986, 642, 808.

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}.