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LCM of 245, 979, 689, 481, 321

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


Find the LCM of 245, 979, 689, 481, 321 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 245, 979, 689, 481, 321. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 245,979,689,481,321

Given numbers are 245,979,689,481,321

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

The LCM of 245,979,689,481,321 is 1962794148315.

Find LCM of 245,979,689,481,321 with Prime Factorization


13 245, 979, 689, 481, 321
245, 979, 53, 37, 321

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

13 x 245 x 979 x 53 x 37 x 321 = 1962794148315

Therefore, the lowest common multiple of 245,979,689,481,321 is 1962794148315.

LCM Formula to Find Lowest Common Multiple of 245,979,689,481,321

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.

245 x 979 x 689 x 481 x 321 = 25516323928095

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.

245 : 1, 5, 7, 35, 49, 245

979 : 1, 11, 89, 979

689 : 1, 13, 53, 689

481 : 1, 13, 37, 481

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,979,689,481,321, is 1.

Now, the common factors can be found like this.

245:5x 7x 7

979:11x 89

689:13x 53

481:13x 37

321:3x 107

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

13 = 13

Therefore, the value for common factors is 13.

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 = 25516323928095/(1x13)

LCM = 25516323928095/13

LCM = 1962794148315

Thus, we can understand that the LCM of 245,979,689,481,321 is 1962794148315.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 245, 979, 689, 481, 321

1. What is the LCM of 245, 979, 689, 481, 321?

Answer: LCM of 245, 979, 689, 481, 321 is 1962794148315.

2. How to calculate the LCM of 245, 979, 689, 481, 321?

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 245, 979, 689, 481, 321.

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}.