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LCM of 257, 278, 598, 845, 725

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


Find the LCM of 257, 278, 598, 845, 725 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 257, 278, 598, 845, 725. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 257,278,598,845,725

Given numbers are 257,278,598,845,725

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

The LCM of 257,278,598,845,725 is 201340186450.

Find LCM of 257,278,598,845,725 with Prime Factorization


2 257, 278, 598, 845, 725
5 257, 139, 299, 845, 725
13 257, 139, 299, 169, 145
257, 139, 23, 13, 145

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

2 x 5 x 13 x 257 x 139 x 23 x 13 x 145 = 201340186450

Therefore, the lowest common multiple of 257,278,598,845,725 is 201340186450.

LCM Formula to Find Lowest Common Multiple of 257,278,598,845,725

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.

257 x 278 x 598 x 845 x 725 = 26174224238500

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.

257 : 1, 257

278 : 1, 2, 139, 278

598 : 1, 2, 13, 23, 26, 46, 299, 598

845 : 1, 5, 13, 65, 169, 845

725 : 1, 5, 25, 29, 145, 725

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,278,598,845,725, is 1.

Now, the common factors can be found like this.

257:257

278:2x 139

598:2x 13x 23

845:5x 13x 13

725:5x 5x 29

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 = 26174224238500/(1x130)

LCM = 26174224238500/130

LCM = 201340186450

Thus, we can understand that the LCM of 257,278,598,845,725 is 201340186450.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 257, 278, 598, 845, 725

1. What is the LCM of 257, 278, 598, 845, 725?

Answer: LCM of 257, 278, 598, 845, 725 is 201340186450.

2. How to calculate the LCM of 257, 278, 598, 845, 725?

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 257, 278, 598, 845, 725.

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}.