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LCM of 629, 758, 460, 343

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


Find the LCM of 629, 758, 460, 343 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, 758, 460, 343. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 629,758,460,343

Given numbers are 629,758,460,343

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

The LCM of 629,758,460,343 is 37613331980.

Find LCM of 629,758,460,343 with Prime Factorization


2 629, 758, 460, 343
629, 379, 230, 343

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

2 x 629 x 379 x 230 x 343 = 37613331980

Therefore, the lowest common multiple of 629,758,460,343 is 37613331980.

LCM Formula to Find Lowest Common Multiple of 629,758,460,343

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 758 x 460 x 343 = 75226663960

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

758 : 1, 2, 379, 758

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,758,460,343, is 1.

Now, the common factors can be found like this.

629:17x 37

758:2x 379

460:2x 2x 5x 23

343:7x 7x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 75226663960/(1x2)

LCM = 75226663960/2

LCM = 37613331980

Thus, we can understand that the LCM of 629,758,460,343 is 37613331980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 629, 758, 460, 343

1. What is the LCM of 629, 758, 460, 343?

Answer: LCM of 629, 758, 460, 343 is 37613331980.

2. How to calculate the LCM of 629, 758, 460, 343?

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, 758, 460, 343.

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}.