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LCM of 986, 342, 467, 580, 217

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


Find the LCM of 986, 342, 467, 580, 217 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 986, 342, 467, 580, 217. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,342,467,580,217

Given numbers are 986,342,467,580,217

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

The LCM of 986,342,467,580,217 is 170863634340.

Find LCM of 986,342,467,580,217 with Prime Factorization


2 986, 342, 467, 580, 217
29 493, 171, 467, 290, 217
17, 171, 467, 10, 217

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

2 x 29 x 17 x 171 x 467 x 10 x 217 = 170863634340

Therefore, the lowest common multiple of 986,342,467,580,217 is 170863634340.

LCM Formula to Find Lowest Common Multiple of 986,342,467,580,217

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.

986 x 342 x 467 x 580 x 217 = 19820181583440

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.

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

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

467 : 1, 467

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,342,467,580,217, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

342:2x 3x 3x 19

467:467

580:2x 2x 5x 29

217:7x 31

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 29 = 116

Therefore, the value for common factors is 116.

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 = 19820181583440/(1x116)

LCM = 19820181583440/116

LCM = 170863634340

Thus, we can understand that the LCM of 986,342,467,580,217 is 170863634340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 342, 467, 580, 217

1. What is the LCM of 986, 342, 467, 580, 217?

Answer: LCM of 986, 342, 467, 580, 217 is 170863634340.

2. How to calculate the LCM of 986, 342, 467, 580, 217?

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 986, 342, 467, 580, 217.

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}.