Given numbers are 284,394,444,484,448

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

The LCM of 284,394,444,484,448 is 84161009856.

Find LCM of 284,394,444,484,448 with Prime Factorization

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

2 x 2 x 71 x 197 x 111 x 121 x 112 = 84161009856

Therefore, the lowest common multiple of 284,394,444,484,448 is 84161009856.

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.

284 x 394 x 444 x 484 x 448 = 10772609261568

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.

284 : 1, 2, 4, 71, 142, 284

394 : 1, 2, 197, 394

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

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

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,394,444,484,448, is 2.

Now, the common factors can be found like this.

284:2x 2x 71

394:2x 197

444:2x 2x 3x 37

484:2x 2x 11x 11

448:2x 2x 2x 2x 2x 2x 7

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 2 = 64

Therefore, the value for common factors is 64.

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 = 10772609261568/(2x64)

LCM = 10772609261568/128

LCM = 84161009856

Thus, we can understand that the LCM of 284,394,444,484,448 is 84161009856.

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

• LCM of 441, 832, 752, 968, 192
• LCM of 139, 524, 996, 812, 105
• LCM of 971, 836, 177, 257, 501
• LCM of 656, 219, 454, 158, 189
• LCM of 392, 359, 624, 689, 775

1. What is the LCM of 284, 394, 444, 484, 448?

Answer: LCM of 284, 394, 444, 484, 448 is 84161009856.

2. How to calculate the LCM of 284, 394, 444, 484, 448?

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 284, 394, 444, 484, 448.

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}.