Given numbers are 774,494,339,408,394

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

The LCM of 774,494,339,408,394 is 289395315144.

Find LCM of 774,494,339,408,394 with Prime Factorization

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

2 x 3 x 129 x 247 x 113 x 68 x 197 = 289395315144

Therefore, the lowest common multiple of 774,494,339,408,394 is 289395315144.

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.

774 x 494 x 339 x 408 x 394 = 20836462690368

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.

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

494 : 1, 2, 13, 19, 26, 38, 247, 494

339 : 1, 3, 113, 339

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

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,494,339,408,394, is 1.

Now, the common factors can be found like this.

774:2x 3x 3x 43

494:2x 13x 19

339:3x 113

408:2x 2x 2x 3x 17

394:2x 197

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 20836462690368/(1x72)

LCM = 20836462690368/72

LCM = 289395315144

Thus, we can understand that the LCM of 774,494,339,408,394 is 289395315144.

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

• LCM of 150, 618, 489, 387, 598
• LCM of 466, 104, 832, 550, 879
• LCM of 360, 691, 969, 677, 681
• LCM of 756, 337, 409, 420, 533
• LCM of 903, 598, 214, 550, 879

1. What is the LCM of 774, 494, 339, 408, 394?

Answer: LCM of 774, 494, 339, 408, 394 is 289395315144.

2. How to calculate the LCM of 774, 494, 339, 408, 394?

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 774, 494, 339, 408, 394.

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}.