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LCM of 910, 559, 194, 545

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


Find the LCM of 910, 559, 194, 545 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, 559, 194, 545. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 910,559,194,545

Given numbers are 910,559,194,545

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

The LCM of 910,559,194,545 is 413721490.

Find LCM of 910,559,194,545 with Prime Factorization


2 910, 559, 194, 545
5 455, 559, 97, 545
13 91, 559, 97, 109
7, 43, 97, 109

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

2 x 5 x 13 x 7 x 43 x 97 x 109 = 413721490

Therefore, the lowest common multiple of 910,559,194,545 is 413721490.

LCM Formula to Find Lowest Common Multiple of 910,559,194,545

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 559 x 194 x 545 = 53783793700

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

559 : 1, 13, 43, 559

194 : 1, 2, 97, 194

545 : 1, 5, 109, 545

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,559,194,545, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

559:13x 43

194:2x 97

545:5x 109

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

2x 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 53783793700/(1x130)

LCM = 53783793700/130

LCM = 413721490

Thus, we can understand that the LCM of 910,559,194,545 is 413721490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 910, 559, 194, 545

1. What is the LCM of 910, 559, 194, 545?

Answer: LCM of 910, 559, 194, 545 is 413721490.

2. How to calculate the LCM of 910, 559, 194, 545?

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, 559, 194, 545.

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}.