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LCM of 277, 455, 425, 286, 897

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


Find the LCM of 277, 455, 425, 286, 897 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 277, 455, 425, 286, 897. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 277,455,425,286,897

Given numbers are 277,455,425,286,897

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

The LCM of 277,455,425,286,897 is 16262296050.

Find LCM of 277,455,425,286,897 with Prime Factorization


5 277, 455, 425, 286, 897
13 277, 91, 85, 286, 897
277, 7, 85, 22, 69

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

5 x 13 x 277 x 7 x 85 x 22 x 69 = 16262296050

Therefore, the lowest common multiple of 277,455,425,286,897 is 16262296050.

LCM Formula to Find Lowest Common Multiple of 277,455,425,286,897

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.

277 x 455 x 425 x 286 x 897 = 13741640162250

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.

277 : 1, 277

455 : 1, 5, 7, 13, 35, 65, 91, 455

425 : 1, 5, 17, 25, 85, 425

286 : 1, 2, 11, 13, 22, 26, 143, 286

897 : 1, 3, 13, 23, 39, 69, 299, 897

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,455,425,286,897, is 1.

Now, the common factors can be found like this.

277:277

455:5x 7x 13

425:5x 5x 17

286:2x 11x 13

897:3x 13x 23

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

5x 13x 13 = 845

Therefore, the value for common factors is 845.

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 = 13741640162250/(1x845)

LCM = 13741640162250/845

LCM = 16262296050

Thus, we can understand that the LCM of 277,455,425,286,897 is 16262296050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 277, 455, 425, 286, 897

1. What is the LCM of 277, 455, 425, 286, 897?

Answer: LCM of 277, 455, 425, 286, 897 is 16262296050.

2. How to calculate the LCM of 277, 455, 425, 286, 897?

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 277, 455, 425, 286, 897.

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}.