Given numbers are 489,704,110,428,408

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

The LCM of 489,704,110,428,408 is 3131008320.

Find LCM of 489,704,110,428,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 163 x 8 x 5 x 107 x 17 = 3131008320

Therefore, the lowest common multiple of 489,704,110,428,408 is 3131008320.

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.

489 x 704 x 110 x 428 x 408 = 6612689571840

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.

489 : 1, 3, 163, 489

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

110 : 1, 2, 5, 10, 11, 22, 55, 110

428 : 1, 2, 4, 107, 214, 428

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 489,704,110,428,408, is 1.

Now, the common factors can be found like this.

489:3x 163

704:2x 2x 2x 2x 2x 2x 11

110:2x 5x 11

428:2x 2x 107

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 2x 2x 2x 2x 2x 3x 11 = 2112

Therefore, the value for common factors is 2112.

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 = 6612689571840/(1x2112)

LCM = 6612689571840/2112

LCM = 3131008320

Thus, we can understand that the LCM of 489,704,110,428,408 is 3131008320.

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

• LCM of 544, 531, 931, 145, 876
• LCM of 789, 996, 663, 119, 617
• LCM of 771, 453, 824, 411, 667
• LCM of 134, 599, 684, 583, 637
• LCM of 318, 436, 127, 790, 427

1. What is the LCM of 489, 704, 110, 428, 408?

Answer: LCM of 489, 704, 110, 428, 408 is 3131008320.

2. How to calculate the LCM of 489, 704, 110, 428, 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 489, 704, 110, 428, 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}.