Given numbers are 448,128,428,194

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

The LCM of 448,128,428,194 is 9299584.

Find LCM of 448,128,428,194 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 7 x 2 x 107 x 97 = 9299584

Therefore, the lowest common multiple of 448,128,428,194 is 9299584.

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.

448 x 128 x 428 x 194 = 4761387008

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.

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

194 : 1, 2, 97, 194

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,128,428,194, is 2.

Now, the common factors can be found like this.

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

128:2x 2x 2x 2x 2x 2x 2

428:2x 2x 107

194:2x 97

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 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 4761387008/(2x256)

LCM = 4761387008/512

LCM = 9299584

Thus, we can understand that the LCM of 448,128,428,194 is 9299584.

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

• LCM of 139, 208, 174, 814
• LCM of 426, 602, 849, 334
• LCM of 299, 620, 743, 682
• LCM of 268, 806, 584, 391
• LCM of 410, 664, 350, 468

1. What is the LCM of 448, 128, 428, 194?

Answer: LCM of 448, 128, 428, 194 is 9299584.

2. How to calculate the LCM of 448, 128, 428, 194?

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 448, 128, 428, 194.

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}.