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LCM of 361, 986, 587, 512, 413

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


Find the LCM of 361, 986, 587, 512, 413 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 361, 986, 587, 512, 413. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,986,587,512,413

Given numbers are 361,986,587,512,413

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

The LCM of 361,986,587,512,413 is 22090840249856.

Find LCM of 361,986,587,512,413 with Prime Factorization


2 361, 986, 587, 512, 413
361, 493, 587, 256, 413

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

2 x 361 x 493 x 587 x 256 x 413 = 22090840249856

Therefore, the lowest common multiple of 361,986,587,512,413 is 22090840249856.

LCM Formula to Find Lowest Common Multiple of 361,986,587,512,413

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.

361 x 986 x 587 x 512 x 413 = 44181680499712

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.

361 : 1, 19, 361

986 : 1, 2, 17, 29, 34, 58, 493, 986

587 : 1, 587

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

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,986,587,512,413, is 1.

Now, the common factors can be found like this.

361:19x 19

986:2x 17x 29

587:587

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

413:7x 59

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

2 = 2

Therefore, the value for common factors is 2.

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 = 44181680499712/(1x2)

LCM = 44181680499712/2

LCM = 22090840249856

Thus, we can understand that the LCM of 361,986,587,512,413 is 22090840249856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 986, 587, 512, 413

1. What is the LCM of 361, 986, 587, 512, 413?

Answer: LCM of 361, 986, 587, 512, 413 is 22090840249856.

2. How to calculate the LCM of 361, 986, 587, 512, 413?

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 361, 986, 587, 512, 413.

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}.