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LCM of 671, 914, 626, 208, 485

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


Find the LCM of 671, 914, 626, 208, 485 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 671, 914, 626, 208, 485. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 671,914,626,208,485

Given numbers are 671,914,626,208,485

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

The LCM of 671,914,626,208,485 is 9682513949680.

Find LCM of 671,914,626,208,485 with Prime Factorization


2 671, 914, 626, 208, 485
671, 457, 313, 104, 485

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

2 x 671 x 457 x 313 x 104 x 485 = 9682513949680

Therefore, the lowest common multiple of 671,914,626,208,485 is 9682513949680.

LCM Formula to Find Lowest Common Multiple of 671,914,626,208,485

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.

671 x 914 x 626 x 208 x 485 = 38730055798720

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.

671 : 1, 11, 61, 671

914 : 1, 2, 457, 914

626 : 1, 2, 313, 626

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

485 : 1, 5, 97, 485

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,914,626,208,485, is 1.

Now, the common factors can be found like this.

671:11x 61

914:2x 457

626:2x 313

208:2x 2x 2x 2x 13

485:5x 97

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 38730055798720/(1x4)

LCM = 38730055798720/4

LCM = 9682513949680

Thus, we can understand that the LCM of 671,914,626,208,485 is 9682513949680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 671, 914, 626, 208, 485

1. What is the LCM of 671, 914, 626, 208, 485?

Answer: LCM of 671, 914, 626, 208, 485 is 9682513949680.

2. How to calculate the LCM of 671, 914, 626, 208, 485?

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 671, 914, 626, 208, 485.

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}.