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LCM of 259, 409, 338, 512, 377

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


Find the LCM of 259, 409, 338, 512, 377 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 259, 409, 338, 512, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 259,409,338,512,377

Given numbers are 259,409,338,512,377

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

The LCM of 259,409,338,512,377 is 265813929472.

Find LCM of 259,409,338,512,377 with Prime Factorization


2 259, 409, 338, 512, 377
13 259, 409, 169, 256, 377
259, 409, 13, 256, 29

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

2 x 13 x 259 x 409 x 13 x 256 x 29 = 265813929472

Therefore, the lowest common multiple of 259,409,338,512,377 is 265813929472.

LCM Formula to Find Lowest Common Multiple of 259,409,338,512,377

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.

259 x 409 x 338 x 512 x 377 = 6911162166272

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.

259 : 1, 7, 37, 259

409 : 1, 409

338 : 1, 2, 13, 26, 169, 338

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,409,338,512,377, is 1.

Now, the common factors can be found like this.

259:7x 37

409:409

338:2x 13x 13

512:2x 2x 2x 2x 2x 2x 2x 2x 2

377:13x 29

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 6911162166272/(1x26)

LCM = 6911162166272/26

LCM = 265813929472

Thus, we can understand that the LCM of 259,409,338,512,377 is 265813929472.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 259, 409, 338, 512, 377

1. What is the LCM of 259, 409, 338, 512, 377?

Answer: LCM of 259, 409, 338, 512, 377 is 265813929472.

2. How to calculate the LCM of 259, 409, 338, 512, 377?

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 259, 409, 338, 512, 377.

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}.