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LCM of 902, 327, 272, 380, 686

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


Find the LCM of 902, 327, 272, 380, 686 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 902, 327, 272, 380, 686. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,327,272,380,686

Given numbers are 902,327,272,380,686

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

The LCM of 902,327,272,380,686 is 1307106348240.

Find LCM of 902,327,272,380,686 with Prime Factorization


2 902, 327, 272, 380, 686
2 451, 327, 136, 190, 343
451, 327, 68, 95, 343

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

2 x 2 x 451 x 327 x 68 x 95 x 343 = 1307106348240

Therefore, the lowest common multiple of 902,327,272,380,686 is 1307106348240.

LCM Formula to Find Lowest Common Multiple of 902,327,272,380,686

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.

902 x 327 x 272 x 380 x 686 = 20913701571840

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

327 : 1, 3, 109, 327

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,327,272,380,686, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

327:3x 109

272:2x 2x 2x 2x 17

380:2x 2x 5x 19

686:2x 7x 7x 7

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 2 = 16

Therefore, the value for common factors is 16.

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 = 20913701571840/(1x16)

LCM = 20913701571840/16

LCM = 1307106348240

Thus, we can understand that the LCM of 902,327,272,380,686 is 1307106348240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 327, 272, 380, 686

1. What is the LCM of 902, 327, 272, 380, 686?

Answer: LCM of 902, 327, 272, 380, 686 is 1307106348240.

2. How to calculate the LCM of 902, 327, 272, 380, 686?

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 902, 327, 272, 380, 686.

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}.