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LCM of 403, 682, 694, 388, 215

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


Find the LCM of 403, 682, 694, 388, 215 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 403, 682, 694, 388, 215. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 403,682,694,388,215

Given numbers are 403,682,694,388,215

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

The LCM of 403,682,694,388,215 is 128320898420.

Find LCM of 403,682,694,388,215 with Prime Factorization


2 403, 682, 694, 388, 215
31 403, 341, 347, 194, 215
13, 11, 347, 194, 215

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

2 x 31 x 13 x 11 x 347 x 194 x 215 = 128320898420

Therefore, the lowest common multiple of 403,682,694,388,215 is 128320898420.

LCM Formula to Find Lowest Common Multiple of 403,682,694,388,215

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.

403 x 682 x 694 x 388 x 215 = 15911791404080

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.

403 : 1, 13, 31, 403

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

694 : 1, 2, 347, 694

388 : 1, 2, 4, 97, 194, 388

215 : 1, 5, 43, 215

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,682,694,388,215, is 1.

Now, the common factors can be found like this.

403:13x 31

682:2x 11x 31

694:2x 347

388:2x 2x 97

215:5x 43

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 31 = 124

Therefore, the value for common factors is 124.

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 = 15911791404080/(1x124)

LCM = 15911791404080/124

LCM = 128320898420

Thus, we can understand that the LCM of 403,682,694,388,215 is 128320898420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 403, 682, 694, 388, 215

1. What is the LCM of 403, 682, 694, 388, 215?

Answer: LCM of 403, 682, 694, 388, 215 is 128320898420.

2. How to calculate the LCM of 403, 682, 694, 388, 215?

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 403, 682, 694, 388, 215.

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}.