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LCM of 390, 571, 682, 315, 706

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


Find the LCM of 390, 571, 682, 315, 706 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 390, 571, 682, 315, 706. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 390,571,682,315,706

Given numbers are 390,571,682,315,706

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

The LCM of 390,571,682,315,706 is 562923130770.

Find LCM of 390,571,682,315,706 with Prime Factorization


2 390, 571, 682, 315, 706
3 195, 571, 341, 315, 353
5 65, 571, 341, 105, 353
13, 571, 341, 21, 353

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

2 x 3 x 5 x 13 x 571 x 341 x 21 x 353 = 562923130770

Therefore, the lowest common multiple of 390,571,682,315,706 is 562923130770.

LCM Formula to Find Lowest Common Multiple of 390,571,682,315,706

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.

390 x 571 x 682 x 315 x 706 = 33775387846200

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

571 : 1, 571

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

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,571,682,315,706, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

571:571

682:2x 11x 31

315:3x 3x 5x 7

706:2x 353

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 3x 5 = 60

Therefore, the value for common factors is 60.

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 = 33775387846200/(1x60)

LCM = 33775387846200/60

LCM = 562923130770

Thus, we can understand that the LCM of 390,571,682,315,706 is 562923130770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 390, 571, 682, 315, 706

1. What is the LCM of 390, 571, 682, 315, 706?

Answer: LCM of 390, 571, 682, 315, 706 is 562923130770.

2. How to calculate the LCM of 390, 571, 682, 315, 706?

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 390, 571, 682, 315, 706.

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}.