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LCM of 188, 629, 611, 702, 934

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


Find the LCM of 188, 629, 611, 702, 934 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 188, 629, 611, 702, 934. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 188,629,611,702,934

Given numbers are 188,629,611,702,934

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

The LCM of 188,629,611,702,934 is 19383513084.

Find LCM of 188,629,611,702,934 with Prime Factorization


2 188, 629, 611, 702, 934
13 94, 629, 611, 351, 467
47 94, 629, 47, 27, 467
2, 629, 1, 27, 467

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

2 x 13 x 47 x 2 x 629 x 1 x 27 x 467 = 19383513084

Therefore, the lowest common multiple of 188,629,611,702,934 is 19383513084.

LCM Formula to Find Lowest Common Multiple of 188,629,611,702,934

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.

188 x 629 x 611 x 702 x 934 = 47373305977296

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.

188 : 1, 2, 4, 47, 94, 188

629 : 1, 17, 37, 629

611 : 1, 13, 47, 611

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

934 : 1, 2, 467, 934

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,629,611,702,934, is 1.

Now, the common factors can be found like this.

188:2x 2x 47

629:17x 37

611:13x 47

702:2x 3x 3x 3x 13

934:2x 467

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 13x 47 = 2444

Therefore, the value for common factors is 2444.

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 = 47373305977296/(1x2444)

LCM = 47373305977296/2444

LCM = 19383513084

Thus, we can understand that the LCM of 188,629,611,702,934 is 19383513084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 188, 629, 611, 702, 934

1. What is the LCM of 188, 629, 611, 702, 934?

Answer: LCM of 188, 629, 611, 702, 934 is 19383513084.

2. How to calculate the LCM of 188, 629, 611, 702, 934?

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 188, 629, 611, 702, 934.

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}.