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LCM of 260, 646, 572, 385

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


Find the LCM of 260, 646, 572, 385 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, 646, 572, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 260,646,572,385

Given numbers are 260,646,572,385

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

The LCM of 260,646,572,385 is 6466460.

Find LCM of 260,646,572,385 with Prime Factorization


2 260, 646, 572, 385
2 130, 323, 286, 385
5 65, 323, 143, 385
11 13, 323, 143, 77
13 13, 323, 13, 7
1, 323, 1, 7

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

2 x 2 x 5 x 11 x 13 x 1 x 323 x 1 x 7 = 6466460

Therefore, the lowest common multiple of 260,646,572,385 is 6466460.

LCM Formula to Find Lowest Common Multiple of 260,646,572,385

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 646 x 572 x 385 = 36988151200

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,646,572,385, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

646:2x 17x 19

572:2x 2x 11x 13

385:5x 7x 11

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 5x 11x 13 = 5720

Therefore, the value for common factors is 5720.

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 = 36988151200/(1x5720)

LCM = 36988151200/5720

LCM = 6466460

Thus, we can understand that the LCM of 260,646,572,385 is 6466460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 260, 646, 572, 385

1. What is the LCM of 260, 646, 572, 385?

Answer: LCM of 260, 646, 572, 385 is 6466460.

2. How to calculate the LCM of 260, 646, 572, 385?

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, 646, 572, 385.

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}.