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LCM of 682, 627, 230, 365, 482

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


Find the LCM of 682, 627, 230, 365, 482 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, 627, 230, 365, 482. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,627,230,365,482

Given numbers are 682,627,230,365,482

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

The LCM of 682,627,230,365,482 is 78649682430.

Find LCM of 682,627,230,365,482 with Prime Factorization


2 682, 627, 230, 365, 482
5 341, 627, 115, 365, 241
11 341, 627, 23, 73, 241
31, 57, 23, 73, 241

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

2 x 5 x 11 x 31 x 57 x 23 x 73 x 241 = 78649682430

Therefore, the lowest common multiple of 682,627,230,365,482 is 78649682430.

LCM Formula to Find Lowest Common Multiple of 682,627,230,365,482

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 627 x 230 x 365 x 482 = 17302930134600

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

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

365 : 1, 5, 73, 365

482 : 1, 2, 241, 482

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,627,230,365,482, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

627:3x 11x 19

230:2x 5x 23

365:5x 73

482:2x 241

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 5x 11 = 220

Therefore, the value for common factors is 220.

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 = 17302930134600/(1x220)

LCM = 17302930134600/220

LCM = 78649682430

Thus, we can understand that the LCM of 682,627,230,365,482 is 78649682430.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 627, 230, 365, 482

1. What is the LCM of 682, 627, 230, 365, 482?

Answer: LCM of 682, 627, 230, 365, 482 is 78649682430.

2. How to calculate the LCM of 682, 627, 230, 365, 482?

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, 627, 230, 365, 482.

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}.