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LCM of 271, 260, 377, 104

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


Find the LCM of 271, 260, 377, 104 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 271, 260, 377, 104. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 271,260,377,104

Given numbers are 271,260,377,104

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

The LCM of 271,260,377,104 is 4086680.

Find LCM of 271,260,377,104 with Prime Factorization


2 271, 260, 377, 104
2 271, 130, 377, 52
13 271, 65, 377, 26
271, 5, 29, 2

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

2 x 2 x 13 x 271 x 5 x 29 x 2 = 4086680

Therefore, the lowest common multiple of 271,260,377,104 is 4086680.

LCM Formula to Find Lowest Common Multiple of 271,260,377,104

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.

271 x 260 x 377 x 104 = 2762595680

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.

271 : 1, 271

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

377 : 1, 13, 29, 377

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,260,377,104, is 1.

Now, the common factors can be found like this.

271:271

260:2x 2x 5x 13

377:13x 29

104:2x 2x 2x 13

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 13x 13 = 676

Therefore, the value for common factors is 676.

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 = 2762595680/(1x676)

LCM = 2762595680/676

LCM = 4086680

Thus, we can understand that the LCM of 271,260,377,104 is 4086680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 271, 260, 377, 104

1. What is the LCM of 271, 260, 377, 104?

Answer: LCM of 271, 260, 377, 104 is 4086680.

2. How to calculate the LCM of 271, 260, 377, 104?

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 271, 260, 377, 104.

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}.