Given numbers are 663,288,489,731,828

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

The LCM of 663,288,489,731,828 is 10260503136.

Find LCM of 663,288,489,731,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 17 x 13 x 8 x 163 x 43 x 23 = 10260503136

Therefore, the lowest common multiple of 663,288,489,731,828 is 10260503136.

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.

663 x 288 x 489 x 731 x 828 = 56514851273088

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.

663 : 1, 3, 13, 17, 39, 51, 221, 663

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

489 : 1, 3, 163, 489

731 : 1, 17, 43, 731

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,288,489,731,828, is 1.

Now, the common factors can be found like this.

663:3x 13x 17

288:2x 2x 2x 2x 2x 3x 3

489:3x 163

731:17x 43

828:2x 2x 3x 3x 23

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 3x 3x 3x 3x 17 = 5508

Therefore, the value for common factors is 5508.

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 = 56514851273088/(1x5508)

LCM = 56514851273088/5508

LCM = 10260503136

Thus, we can understand that the LCM of 663,288,489,731,828 is 10260503136.

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

• LCM of 583, 650, 950, 140, 779
• LCM of 946, 799, 585, 314, 104
• LCM of 468, 461, 254, 368, 607
• LCM of 903, 834, 589, 133, 566
• LCM of 794, 815, 364, 870, 172

1. What is the LCM of 663, 288, 489, 731, 828?

Answer: LCM of 663, 288, 489, 731, 828 is 10260503136.

2. How to calculate the LCM of 663, 288, 489, 731, 828?

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 663, 288, 489, 731, 828.

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}.