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LCM of 271, 839, 319, 627, 658

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


Find the LCM of 271, 839, 319, 627, 658 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 271, 839, 319, 627, 658. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 271,839,319,627,658

Given numbers are 271,839,319,627,658

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

The LCM of 271,839,319,627,658 is 2720336846766.

Find LCM of 271,839,319,627,658 with Prime Factorization


11 271, 839, 319, 627, 658
271, 839, 29, 57, 658

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

11 x 271 x 839 x 29 x 57 x 658 = 2720336846766

Therefore, the lowest common multiple of 271,839,319,627,658 is 2720336846766.

LCM Formula to Find Lowest Common Multiple of 271,839,319,627,658

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.

271 x 839 x 319 x 627 x 658 = 29923705314426

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.

271 : 1, 271

839 : 1, 839

319 : 1, 11, 29, 319

627 : 1, 3, 11, 19, 33, 57, 209, 627

658 : 1, 2, 7, 14, 47, 94, 329, 658

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,839,319,627,658, is 1.

Now, the common factors can be found like this.

271:271

839:839

319:11x 29

627:3x 11x 19

658:2x 7x 47

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

11 = 11

Therefore, the value for common factors is 11.

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 = 29923705314426/(1x11)

LCM = 29923705314426/11

LCM = 2720336846766

Thus, we can understand that the LCM of 271,839,319,627,658 is 2720336846766.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 271, 839, 319, 627, 658

1. What is the LCM of 271, 839, 319, 627, 658?

Answer: LCM of 271, 839, 319, 627, 658 is 2720336846766.

2. How to calculate the LCM of 271, 839, 319, 627, 658?

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 271, 839, 319, 627, 658.

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}.