Given numbers are 328,306,578,422

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

The LCM of 328,306,578,422 is 180010008.

Find LCM of 328,306,578,422 with Prime Factorization

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

2 x 17 x 164 x 9 x 17 x 211 = 180010008

Therefore, the lowest common multiple of 328,306,578,422 is 180010008.

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.

328 x 306 x 578 x 422 = 24481361088

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

578 : 1, 2, 17, 34, 289, 578

422 : 1, 2, 211, 422

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,306,578,422, is 2.

Now, the common factors can be found like this.

328:2x 2x 2x 41

306:2x 3x 3x 17

578:2x 17x 17

422:2x 211

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 17 = 68

Therefore, the value for common factors is 68.

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 = 24481361088/(2x68)

LCM = 24481361088/136

LCM = 180010008

Thus, we can understand that the LCM of 328,306,578,422 is 180010008.

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

• LCM of 621, 134, 569, 614
• LCM of 409, 379, 329, 584
• LCM of 627, 813, 278, 934
• LCM of 341, 639, 949, 651
• LCM of 770, 506, 760, 639

1. What is the LCM of 328, 306, 578, 422?

Answer: LCM of 328, 306, 578, 422 is 180010008.

2. How to calculate the LCM of 328, 306, 578, 422?

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 328, 306, 578, 422.

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}.