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LCM of 635, 694, 625, 671, 702

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


Find the LCM of 635, 694, 625, 671, 702 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 635, 694, 625, 671, 702. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 635,694,625,671,702

Given numbers are 635,694,625,671,702

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

The LCM of 635,694,625,671,702 is 12973968686250.

Find LCM of 635,694,625,671,702 with Prime Factorization


2 635, 694, 625, 671, 702
5 635, 347, 625, 671, 351
127, 347, 125, 671, 351

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

2 x 5 x 127 x 347 x 125 x 671 x 351 = 12973968686250

Therefore, the lowest common multiple of 635,694,625,671,702 is 12973968686250.

LCM Formula to Find Lowest Common Multiple of 635,694,625,671,702

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.

635 x 694 x 625 x 671 x 702 = 129739686862500

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.

635 : 1, 5, 127, 635

694 : 1, 2, 347, 694

625 : 1, 5, 25, 125, 625

671 : 1, 11, 61, 671

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,694,625,671,702, is 1.

Now, the common factors can be found like this.

635:5x 127

694:2x 347

625:5x 5x 5x 5

671:11x 61

702:2x 3x 3x 3x 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 5 = 10

Therefore, the value for common factors is 10.

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 = 129739686862500/(1x10)

LCM = 129739686862500/10

LCM = 12973968686250

Thus, we can understand that the LCM of 635,694,625,671,702 is 12973968686250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 635, 694, 625, 671, 702

1. What is the LCM of 635, 694, 625, 671, 702?

Answer: LCM of 635, 694, 625, 671, 702 is 12973968686250.

2. How to calculate the LCM of 635, 694, 625, 671, 702?

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 635, 694, 625, 671, 702.

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}.