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LCM of 629, 325, 717, 634, 676

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


Find the LCM of 629, 325, 717, 634, 676 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 629, 325, 717, 634, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 629,325,717,634,676

Given numbers are 629,325,717,634,676

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

The LCM of 629,325,717,634,676 is 2416104798900.

Find LCM of 629,325,717,634,676 with Prime Factorization


2 629, 325, 717, 634, 676
13 629, 325, 717, 317, 338
629, 25, 717, 317, 26

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

2 x 13 x 629 x 25 x 717 x 317 x 26 = 2416104798900

Therefore, the lowest common multiple of 629,325,717,634,676 is 2416104798900.

LCM Formula to Find Lowest Common Multiple of 629,325,717,634,676

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.

629 x 325 x 717 x 634 x 676 = 62818724771400

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.

629 : 1, 17, 37, 629

325 : 1, 5, 13, 25, 65, 325

717 : 1, 3, 239, 717

634 : 1, 2, 317, 634

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,325,717,634,676, is 1.

Now, the common factors can be found like this.

629:17x 37

325:5x 5x 13

717:3x 239

634:2x 317

676:2x 2x 13x 13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 62818724771400/(1x26)

LCM = 62818724771400/26

LCM = 2416104798900

Thus, we can understand that the LCM of 629,325,717,634,676 is 2416104798900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 629, 325, 717, 634, 676

1. What is the LCM of 629, 325, 717, 634, 676?

Answer: LCM of 629, 325, 717, 634, 676 is 2416104798900.

2. How to calculate the LCM of 629, 325, 717, 634, 676?

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 629, 325, 717, 634, 676.

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}.