Given numbers are 578,382,381,464

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

The LCM of 578,382,381,464 is 9758300016.

Find LCM of 578,382,381,464 with Prime Factorization

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

2 x 289 x 191 x 381 x 232 = 9758300016

Therefore, the lowest common multiple of 578,382,381,464 is 9758300016.

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.

578 x 382 x 381 x 464 = 39033200064

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.

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

382 : 1, 2, 191, 382

381 : 1, 3, 127, 381

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,382,381,464, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

382:2x 191

381:3x 127

464:2x 2x 2x 2x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 39033200064/(1x4)

LCM = 39033200064/4

LCM = 9758300016

Thus, we can understand that the LCM of 578,382,381,464 is 9758300016.

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

• LCM of 784, 333, 576, 292
• LCM of 718, 362, 497, 364
• LCM of 425, 592, 697, 379
• LCM of 489, 884, 140, 827
• LCM of 833, 205, 705, 819

1. What is the LCM of 578, 382, 381, 464?

Answer: LCM of 578, 382, 381, 464 is 9758300016.

2. How to calculate the LCM of 578, 382, 381, 464?

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 578, 382, 381, 464.

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}.