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LCM of 108, 629, 470, 837, 575

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


Find the LCM of 108, 629, 470, 837, 575 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 108, 629, 470, 837, 575. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 108,629,470,837,575

Given numbers are 108,629,470,837,575

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

The LCM of 108,629,470,837,575 is 56911731300.

Find LCM of 108,629,470,837,575 with Prime Factorization


2 108, 629, 470, 837, 575
3 54, 629, 235, 837, 575
3 18, 629, 235, 279, 575
3 6, 629, 235, 93, 575
5 2, 629, 235, 31, 575
2, 629, 47, 31, 115

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

2 x 3 x 3 x 3 x 5 x 2 x 629 x 47 x 31 x 115 = 56911731300

Therefore, the lowest common multiple of 108,629,470,837,575 is 56911731300.

LCM Formula to Find Lowest Common Multiple of 108,629,470,837,575

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.

108 x 629 x 470 x 837 x 575 = 15366167451000

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.

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

629 : 1, 17, 37, 629

470 : 1, 2, 5, 10, 47, 94, 235, 470

837 : 1, 3, 9, 27, 31, 93, 279, 837

575 : 1, 5, 23, 25, 115, 575

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,629,470,837,575, is 1.

Now, the common factors can be found like this.

108:2x 2x 3x 3x 3

629:17x 37

470:2x 5x 47

837:3x 3x 3x 31

575:5x 5x 23

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

2x 3x 3x 3x 5 = 270

Therefore, the value for common factors is 270.

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 = 15366167451000/(1x270)

LCM = 15366167451000/270

LCM = 56911731300

Thus, we can understand that the LCM of 108,629,470,837,575 is 56911731300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 108, 629, 470, 837, 575

1. What is the LCM of 108, 629, 470, 837, 575?

Answer: LCM of 108, 629, 470, 837, 575 is 56911731300.

2. How to calculate the LCM of 108, 629, 470, 837, 575?

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 108, 629, 470, 837, 575.

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}.