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LCM of 682, 710, 702, 289

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


Find the LCM of 682, 710, 702, 289 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 682, 710, 702, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,710,702,289

Given numbers are 682,710,702,289

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

The LCM of 682,710,702,289 is 24559396290.

Find LCM of 682,710,702,289 with Prime Factorization


2 682, 710, 702, 289
341, 355, 351, 289

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

2 x 341 x 355 x 351 x 289 = 24559396290

Therefore, the lowest common multiple of 682,710,702,289 is 24559396290.

LCM Formula to Find Lowest Common Multiple of 682,710,702,289

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.

682 x 710 x 702 x 289 = 98237585160

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

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

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,710,702,289, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

710:2x 5x 71

702:2x 3x 3x 3x 13

289:17x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 98237585160/(1x4)

LCM = 98237585160/4

LCM = 24559396290

Thus, we can understand that the LCM of 682,710,702,289 is 24559396290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 710, 702, 289

1. What is the LCM of 682, 710, 702, 289?

Answer: LCM of 682, 710, 702, 289 is 24559396290.

2. How to calculate the LCM of 682, 710, 702, 289?

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 682, 710, 702, 289.

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}.