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LCM of 275, 377, 629, 408, 702

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


Find the LCM of 275, 377, 629, 408, 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 275, 377, 629, 408, 702. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 275,377,629,408,702

Given numbers are 275,377,629,408,702

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

The LCM of 275,377,629,408,702 is 14085700200.

Find LCM of 275,377,629,408,702 with Prime Factorization


2 275, 377, 629, 408, 702
3 275, 377, 629, 204, 351
13 275, 377, 629, 68, 117
17 275, 29, 629, 68, 9
275, 29, 37, 4, 9

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

2 x 3 x 13 x 17 x 275 x 29 x 37 x 4 x 9 = 14085700200

Therefore, the lowest common multiple of 275,377,629,408,702 is 14085700200.

LCM Formula to Find Lowest Common Multiple of 275,377,629,408,702

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.

275 x 377 x 629 x 408 x 702 = 18677638465200

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.

275 : 1, 5, 11, 25, 55, 275

377 : 1, 13, 29, 377

629 : 1, 17, 37, 629

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 275,377,629,408,702, is 1.

Now, the common factors can be found like this.

275:5x 5x 11

377:13x 29

629:17x 37

408:2x 2x 2x 3x 17

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 3x 13x 17 = 1326

Therefore, the value for common factors is 1326.

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 = 18677638465200/(1x1326)

LCM = 18677638465200/1326

LCM = 14085700200

Thus, we can understand that the LCM of 275,377,629,408,702 is 14085700200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 275, 377, 629, 408, 702

1. What is the LCM of 275, 377, 629, 408, 702?

Answer: LCM of 275, 377, 629, 408, 702 is 14085700200.

2. How to calculate the LCM of 275, 377, 629, 408, 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 275, 377, 629, 408, 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}.