Given numbers are 484,204,459,408,969

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

The LCM of 484,204,459,408,969 is 8441928.

Find LCM of 484,204,459,408,969 with Prime Factorization

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

2 x 2 x 3 x 17 x 121 x 1 x 9 x 2 x 19 = 8441928

Therefore, the lowest common multiple of 484,204,459,408,969 is 8441928.

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.

484 x 204 x 459 x 408 x 969 = 17917283058048

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

459 : 1, 3, 9, 17, 27, 51, 153, 459

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,204,459,408,969, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

204:2x 2x 3x 17

459:3x 3x 3x 17

408:2x 2x 2x 3x 17

969:3x 17x 19

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 3x 3x 3x 17x 17x 17 = 2122416

Therefore, the value for common factors is 2122416.

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 = 17917283058048/(1x2122416)

LCM = 17917283058048/2122416

LCM = 8441928

Thus, we can understand that the LCM of 484,204,459,408,969 is 8441928.

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

• LCM of 497, 771, 524, 626, 883
• LCM of 419, 171, 753, 743, 596
• LCM of 465, 412, 281, 551, 624
• LCM of 539, 265, 506, 882, 370
• LCM of 591, 359, 488, 892, 386

1. What is the LCM of 484, 204, 459, 408, 969?

Answer: LCM of 484, 204, 459, 408, 969 is 8441928.

2. How to calculate the LCM of 484, 204, 459, 408, 969?

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 484, 204, 459, 408, 969.

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}.