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LCM of 608, 949, 629, 698, 877

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


Find the LCM of 608, 949, 629, 698, 877 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 608, 949, 629, 698, 877. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 608,949,629,698,877

Given numbers are 608,949,629,698,877

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

The LCM of 608,949,629,698,877 is 111082451949664.

Find LCM of 608,949,629,698,877 with Prime Factorization


2 608, 949, 629, 698, 877
304, 949, 629, 349, 877

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

2 x 304 x 949 x 629 x 349 x 877 = 111082451949664

Therefore, the lowest common multiple of 608,949,629,698,877 is 111082451949664.

LCM Formula to Find Lowest Common Multiple of 608,949,629,698,877

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.

608 x 949 x 629 x 698 x 877 = 222164903899328

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

949 : 1, 13, 73, 949

629 : 1, 17, 37, 629

698 : 1, 2, 349, 698

877 : 1, 877

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,949,629,698,877, is 1.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

949:13x 73

629:17x 37

698:2x 349

877:877

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 = 222164903899328/(1x2)

LCM = 222164903899328/2

LCM = 111082451949664

Thus, we can understand that the LCM of 608,949,629,698,877 is 111082451949664.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 608, 949, 629, 698, 877

1. What is the LCM of 608, 949, 629, 698, 877?

Answer: LCM of 608, 949, 629, 698, 877 is 111082451949664.

2. How to calculate the LCM of 608, 949, 629, 698, 877?

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 608, 949, 629, 698, 877.

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}.