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LCM of 348, 629, 715, 777, 424

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


Find the LCM of 348, 629, 715, 777, 424 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 348, 629, 715, 777, 424. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 348,629,715,777,424

Given numbers are 348,629,715,777,424

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

The LCM of 348,629,715,777,424 is 116128772760.

Find LCM of 348,629,715,777,424 with Prime Factorization


2 348, 629, 715, 777, 424
2 174, 629, 715, 777, 212
3 87, 629, 715, 777, 106
37 29, 629, 715, 259, 106
29, 17, 715, 7, 106

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

2 x 2 x 3 x 37 x 29 x 17 x 715 x 7 x 106 = 116128772760

Therefore, the lowest common multiple of 348,629,715,777,424 is 116128772760.

LCM Formula to Find Lowest Common Multiple of 348,629,715,777,424

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.

348 x 629 x 715 x 777 x 424 = 51561175105440

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

629 : 1, 17, 37, 629

715 : 1, 5, 11, 13, 55, 65, 143, 715

777 : 1, 3, 7, 21, 37, 111, 259, 777

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,629,715,777,424, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

629:17x 37

715:5x 11x 13

777:3x 7x 37

424:2x 2x 2x 53

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 3x 37 = 444

Therefore, the value for common factors is 444.

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 = 51561175105440/(1x444)

LCM = 51561175105440/444

LCM = 116128772760

Thus, we can understand that the LCM of 348,629,715,777,424 is 116128772760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 348, 629, 715, 777, 424

1. What is the LCM of 348, 629, 715, 777, 424?

Answer: LCM of 348, 629, 715, 777, 424 is 116128772760.

2. How to calculate the LCM of 348, 629, 715, 777, 424?

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 348, 629, 715, 777, 424.

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}.