Given numbers are 338,516,205,970,461

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

The LCM of 338,516,205,970,461 is 799397759940.

Find LCM of 338,516,205,970,461 with Prime Factorization

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

2 x 5 x 169 x 258 x 41 x 97 x 461 = 799397759940

Therefore, the lowest common multiple of 338,516,205,970,461 is 799397759940.

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.

338 x 516 x 205 x 970 x 461 = 15987955198800

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.

338 : 1, 2, 13, 26, 169, 338

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

205 : 1, 5, 41, 205

970 : 1, 2, 5, 10, 97, 194, 485, 970

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,516,205,970,461, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

516:2x 2x 3x 43

205:5x 41

970:2x 5x 97

461:461

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 5 = 20

Therefore, the value for common factors is 20.

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 = 15987955198800/(1x20)

LCM = 15987955198800/20

LCM = 799397759940

Thus, we can understand that the LCM of 338,516,205,970,461 is 799397759940.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 698, 467, 829, 425, 746
• LCM of 772, 189, 625, 538, 586
• LCM of 660, 384, 360, 978, 208
• LCM of 539, 898, 622, 761, 103
• LCM of 185, 839, 361, 460, 912

1. What is the LCM of 338, 516, 205, 970, 461?

Answer: LCM of 338, 516, 205, 970, 461 is 799397759940.

2. How to calculate the LCM of 338, 516, 205, 970, 461?

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 338, 516, 205, 970, 461.

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}.