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LCM of 391, 363, 986, 278, 338

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


Find the LCM of 391, 363, 986, 278, 338 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 391, 363, 986, 278, 338. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,363,986,278,338

Given numbers are 391,363,986,278,338

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

The LCM of 391,363,986,278,338 is 193380589974.

Find LCM of 391,363,986,278,338 with Prime Factorization


2 391, 363, 986, 278, 338
17 391, 363, 493, 139, 169
23, 363, 29, 139, 169

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

2 x 17 x 23 x 363 x 29 x 139 x 169 = 193380589974

Therefore, the lowest common multiple of 391,363,986,278,338 is 193380589974.

LCM Formula to Find Lowest Common Multiple of 391,363,986,278,338

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.

391 x 363 x 986 x 278 x 338 = 13149880118232

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.

391 : 1, 17, 23, 391

363 : 1, 3, 11, 33, 121, 363

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

278 : 1, 2, 139, 278

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,363,986,278,338, is 1.

Now, the common factors can be found like this.

391:17x 23

363:3x 11x 11

986:2x 17x 29

278:2x 139

338:2x 13x 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 17 = 68

Therefore, the value for common factors is 68.

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 = 13149880118232/(1x68)

LCM = 13149880118232/68

LCM = 193380589974

Thus, we can understand that the LCM of 391,363,986,278,338 is 193380589974.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 363, 986, 278, 338

1. What is the LCM of 391, 363, 986, 278, 338?

Answer: LCM of 391, 363, 986, 278, 338 is 193380589974.

2. How to calculate the LCM of 391, 363, 986, 278, 338?

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 391, 363, 986, 278, 338.

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}.