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LCM of 391, 689, 590, 710

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


Find the LCM of 391, 689, 590, 710 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, 689, 590, 710. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,689,590,710

Given numbers are 391,689,590,710

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

The LCM of 391,689,590,710 is 11285124110.

Find LCM of 391,689,590,710 with Prime Factorization


2 391, 689, 590, 710
5 391, 689, 295, 355
391, 689, 59, 71

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

2 x 5 x 391 x 689 x 59 x 71 = 11285124110

Therefore, the lowest common multiple of 391,689,590,710 is 11285124110.

LCM Formula to Find Lowest Common Multiple of 391,689,590,710

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 689 x 590 x 710 = 112851241100

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

689 : 1, 13, 53, 689

590 : 1, 2, 5, 10, 59, 118, 295, 590

710 : 1, 2, 5, 10, 71, 142, 355, 710

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,689,590,710, is 1.

Now, the common factors can be found like this.

391:17x 23

689:13x 53

590:2x 5x 59

710:2x 5x 71

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 112851241100/(1x10)

LCM = 112851241100/10

LCM = 11285124110

Thus, we can understand that the LCM of 391,689,590,710 is 11285124110.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 689, 590, 710

1. What is the LCM of 391, 689, 590, 710?

Answer: LCM of 391, 689, 590, 710 is 11285124110.

2. How to calculate the LCM of 391, 689, 590, 710?

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, 689, 590, 710.

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}.