Given numbers are 489,261,408,428,694

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

The LCM of 489,261,408,428,694 is 214822750392.

Find LCM of 489,261,408,428,694 with Prime Factorization

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

2 x 2 x 3 x 163 x 87 x 34 x 107 x 347 = 214822750392

Therefore, the lowest common multiple of 489,261,408,428,694 is 214822750392.

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 261 x 408 x 428 x 694 = 15467238028224

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

261 : 1, 3, 9, 29, 87, 261

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

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

694 : 1, 2, 347, 694

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,261,408,428,694, is 1.

Now, the common factors can be found like this.

489:3x 163

261:3x 3x 29

408:2x 2x 2x 3x 17

428:2x 2x 107

694:2x 347

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 = 15467238028224/(1x72)

LCM = 15467238028224/72

LCM = 214822750392

Thus, we can understand that the LCM of 489,261,408,428,694 is 214822750392.

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

• LCM of 515, 715, 862, 538, 969
• LCM of 856, 512, 194, 429, 724
• LCM of 689, 407, 544, 453, 441
• LCM of 998, 373, 963, 947, 123
• LCM of 597, 404, 196, 134, 322

1. What is the LCM of 489, 261, 408, 428, 694?

Answer: LCM of 489, 261, 408, 428, 694 is 214822750392.

2. How to calculate the LCM of 489, 261, 408, 428, 694?

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, 261, 408, 428, 694.

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}.