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LCM of 260, 202, 613, 778, 286

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


Find the LCM of 260, 202, 613, 778, 286 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 260, 202, 613, 778, 286. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 260,202,613,778,286

Given numbers are 260,202,613,778,286

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

The LCM of 260,202,613,778,286 is 68880689020.

Find LCM of 260,202,613,778,286 with Prime Factorization


2 260, 202, 613, 778, 286
13 130, 101, 613, 389, 143
10, 101, 613, 389, 11

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

2 x 13 x 10 x 101 x 613 x 389 x 11 = 68880689020

Therefore, the lowest common multiple of 260,202,613,778,286 is 68880689020.

LCM Formula to Find Lowest Common Multiple of 260,202,613,778,286

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.

260 x 202 x 613 x 778 x 286 = 7163591658080

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.

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

202 : 1, 2, 101, 202

613 : 1, 613

778 : 1, 2, 389, 778

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,202,613,778,286, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

202:2x 101

613:613

778:2x 389

286:2x 11x 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 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 7163591658080/(1x104)

LCM = 7163591658080/104

LCM = 68880689020

Thus, we can understand that the LCM of 260,202,613,778,286 is 68880689020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 260, 202, 613, 778, 286

1. What is the LCM of 260, 202, 613, 778, 286?

Answer: LCM of 260, 202, 613, 778, 286 is 68880689020.

2. How to calculate the LCM of 260, 202, 613, 778, 286?

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 260, 202, 613, 778, 286.

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}.