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LCM of 579, 446, 799, 241, 408

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


Find the LCM of 579, 446, 799, 241, 408 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 579, 446, 799, 241, 408. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 579,446,799,241,408

Given numbers are 579,446,799,241,408

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

The LCM of 579,446,799,241,408 is 198901123224.

Find LCM of 579,446,799,241,408 with Prime Factorization


2 579, 446, 799, 241, 408
3 579, 223, 799, 241, 204
17 193, 223, 799, 241, 68
193, 223, 47, 241, 4

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

2 x 3 x 17 x 193 x 223 x 47 x 241 x 4 = 198901123224

Therefore, the lowest common multiple of 579,446,799,241,408 is 198901123224.

LCM Formula to Find Lowest Common Multiple of 579,446,799,241,408

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.

579 x 446 x 799 x 241 x 408 = 20287914568848

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.

579 : 1, 3, 193, 579

446 : 1, 2, 223, 446

799 : 1, 17, 47, 799

241 : 1, 241

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,446,799,241,408, is 1.

Now, the common factors can be found like this.

579:3x 193

446:2x 223

799:17x 47

241:241

408:2x 2x 2x 3x 17

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

2x 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 20287914568848/(1x102)

LCM = 20287914568848/102

LCM = 198901123224

Thus, we can understand that the LCM of 579,446,799,241,408 is 198901123224.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 579, 446, 799, 241, 408

1. What is the LCM of 579, 446, 799, 241, 408?

Answer: LCM of 579, 446, 799, 241, 408 is 198901123224.

2. How to calculate the LCM of 579, 446, 799, 241, 408?

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 579, 446, 799, 241, 408.

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}.