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LCM of 910, 726, 698, 354, 778

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


Find the LCM of 910, 726, 698, 354, 778 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 910, 726, 698, 354, 778. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 910,726,698,354,778

Given numbers are 910,726,698,354,778

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

The LCM of 910,726,698,354,778 is 2645909936670.

Find LCM of 910,726,698,354,778 with Prime Factorization


2 910, 726, 698, 354, 778
3 455, 363, 349, 177, 389
455, 121, 349, 59, 389

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

2 x 3 x 455 x 121 x 349 x 59 x 389 = 2645909936670

Therefore, the lowest common multiple of 910,726,698,354,778 is 2645909936670.

LCM Formula to Find Lowest Common Multiple of 910,726,698,354,778

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.

910 x 726 x 698 x 354 x 778 = 127003676960160

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

698 : 1, 2, 349, 698

354 : 1, 2, 3, 6, 59, 118, 177, 354

778 : 1, 2, 389, 778

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,726,698,354,778, is 2.

Now, the common factors can be found like this.

910:2x 5x 7x 13

726:2x 3x 11x 11

698:2x 349

354:2x 3x 59

778:2x 389

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 127003676960160/(2x24)

LCM = 127003676960160/48

LCM = 2645909936670

Thus, we can understand that the LCM of 910,726,698,354,778 is 2645909936670.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 910, 726, 698, 354, 778

1. What is the LCM of 910, 726, 698, 354, 778?

Answer: LCM of 910, 726, 698, 354, 778 is 2645909936670.

2. How to calculate the LCM of 910, 726, 698, 354, 778?

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 910, 726, 698, 354, 778.

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}.