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LCM of 907, 408, 490, 876, 926

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


Find the LCM of 907, 408, 490, 876, 926 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 907, 408, 490, 876, 926. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 907,408,490,876,926

Given numbers are 907,408,490,876,926

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

The LCM of 907,408,490,876,926 is 3064343072280.

Find LCM of 907,408,490,876,926 with Prime Factorization


2 907, 408, 490, 876, 926
2 907, 204, 245, 438, 463
3 907, 102, 245, 219, 463
907, 34, 245, 73, 463

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

2 x 2 x 3 x 907 x 34 x 245 x 73 x 463 = 3064343072280

Therefore, the lowest common multiple of 907,408,490,876,926 is 3064343072280.

LCM Formula to Find Lowest Common Multiple of 907,408,490,876,926

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.

907 x 408 x 490 x 876 x 926 = 147088467469440

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.

907 : 1, 907

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

926 : 1, 2, 463, 926

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,408,490,876,926, is 1.

Now, the common factors can be found like this.

907:907

408:2x 2x 2x 3x 17

490:2x 5x 7x 7

876:2x 2x 3x 73

926:2x 463

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 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 147088467469440/(1x48)

LCM = 147088467469440/48

LCM = 3064343072280

Thus, we can understand that the LCM of 907,408,490,876,926 is 3064343072280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 907, 408, 490, 876, 926

1. What is the LCM of 907, 408, 490, 876, 926?

Answer: LCM of 907, 408, 490, 876, 926 is 3064343072280.

2. How to calculate the LCM of 907, 408, 490, 876, 926?

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 907, 408, 490, 876, 926.

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}.