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LCM of 864, 808, 629, 365

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


Find the LCM of 864, 808, 629, 365 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 864, 808, 629, 365. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 864,808,629,365

Given numbers are 864,808,629,365

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

The LCM of 864,808,629,365 is 20034505440.

Find LCM of 864,808,629,365 with Prime Factorization


2 864, 808, 629, 365
2 432, 404, 629, 365
2 216, 202, 629, 365
108, 101, 629, 365

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

2 x 2 x 2 x 108 x 101 x 629 x 365 = 20034505440

Therefore, the lowest common multiple of 864,808,629,365 is 20034505440.

LCM Formula to Find Lowest Common Multiple of 864,808,629,365

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.

864 x 808 x 629 x 365 = 160276043520

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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

629 : 1, 17, 37, 629

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,808,629,365, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

808:2x 2x 2x 101

629:17x 37

365:5x 73

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 2 = 8

Therefore, the value for common factors is 8.

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 = 160276043520/(1x8)

LCM = 160276043520/8

LCM = 20034505440

Thus, we can understand that the LCM of 864,808,629,365 is 20034505440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 864, 808, 629, 365

1. What is the LCM of 864, 808, 629, 365?

Answer: LCM of 864, 808, 629, 365 is 20034505440.

2. How to calculate the LCM of 864, 808, 629, 365?

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 864, 808, 629, 365.

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}.