Given numbers are 328,523,412,385

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

The LCM of 328,523,412,385 is 6802577320.

Find LCM of 328,523,412,385 with Prime Factorization

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

2 x 2 x 82 x 523 x 103 x 385 = 6802577320

Therefore, the lowest common multiple of 328,523,412,385 is 6802577320.

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 523 x 412 x 385 = 27210309280

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

523 : 1, 523

412 : 1, 2, 4, 103, 206, 412

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,523,412,385, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

523:523

412:2x 2x 103

385:5x 7x 11

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 = 27210309280/(1x4)

LCM = 27210309280/4

LCM = 6802577320

Thus, we can understand that the LCM of 328,523,412,385 is 6802577320.

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

• LCM of 639, 948, 788, 664
• LCM of 560, 774, 898, 519
• LCM of 750, 734, 704, 983
• LCM of 956, 448, 365, 644
• LCM of 481, 201, 675, 831

1. What is the LCM of 328, 523, 412, 385?

Answer: LCM of 328, 523, 412, 385 is 6802577320.

2. How to calculate the LCM of 328, 523, 412, 385?

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, 523, 412, 385.

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}.