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LCM of 188, 428, 313, 646, 391

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


Find the LCM of 188, 428, 313, 646, 391 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, 428, 313, 646, 391. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 188,428,313,646,391

Given numbers are 188,428,313,646,391

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

The LCM of 188,428,313,646,391 is 46775272132.

Find LCM of 188,428,313,646,391 with Prime Factorization


2 188, 428, 313, 646, 391
2 94, 214, 313, 323, 391
17 47, 107, 313, 323, 391
47, 107, 313, 19, 23

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

2 x 2 x 17 x 47 x 107 x 313 x 19 x 23 = 46775272132

Therefore, the lowest common multiple of 188,428,313,646,391 is 46775272132.

LCM Formula to Find Lowest Common Multiple of 188,428,313,646,391

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 428 x 313 x 646 x 391 = 6361437009952

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

428 : 1, 2, 4, 107, 214, 428

313 : 1, 313

646 : 1, 2, 17, 19, 34, 38, 323, 646

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,428,313,646,391, is 1.

Now, the common factors can be found like this.

188:2x 2x 47

428:2x 2x 107

313:313

646:2x 17x 19

391:17x 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 2x 2x 17 = 136

Therefore, the value for common factors is 136.

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 = 6361437009952/(1x136)

LCM = 6361437009952/136

LCM = 46775272132

Thus, we can understand that the LCM of 188,428,313,646,391 is 46775272132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 188, 428, 313, 646, 391

1. What is the LCM of 188, 428, 313, 646, 391?

Answer: LCM of 188, 428, 313, 646, 391 is 46775272132.

2. How to calculate the LCM of 188, 428, 313, 646, 391?

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, 428, 313, 646, 391.

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}.