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LCM of 706, 363, 570, 796

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


Find the LCM of 706, 363, 570, 796 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 706, 363, 570, 796. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 706,363,570,796

Given numbers are 706,363,570,796

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

The LCM of 706,363,570,796 is 9689871180.

Find LCM of 706,363,570,796 with Prime Factorization


2 706, 363, 570, 796
3 353, 363, 285, 398
353, 121, 95, 398

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

2 x 3 x 353 x 121 x 95 x 398 = 9689871180

Therefore, the lowest common multiple of 706,363,570,796 is 9689871180.

LCM Formula to Find Lowest Common Multiple of 706,363,570,796

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.

706 x 363 x 570 x 796 = 116278454160

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.

706 : 1, 2, 353, 706

363 : 1, 3, 11, 33, 121, 363

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

796 : 1, 2, 4, 199, 398, 796

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,363,570,796, is 1.

Now, the common factors can be found like this.

706:2x 353

363:3x 11x 11

570:2x 3x 5x 19

796:2x 2x 199

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 3 = 12

Therefore, the value for common factors is 12.

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 = 116278454160/(1x12)

LCM = 116278454160/12

LCM = 9689871180

Thus, we can understand that the LCM of 706,363,570,796 is 9689871180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 706, 363, 570, 796

1. What is the LCM of 706, 363, 570, 796?

Answer: LCM of 706, 363, 570, 796 is 9689871180.

2. How to calculate the LCM of 706, 363, 570, 796?

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 706, 363, 570, 796.

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}.