Given numbers are 382,390,329,460

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

The LCM of 382,390,329,460 is 1127331660.

Find LCM of 382,390,329,460 with Prime Factorization

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

2 x 5 x 191 x 39 x 329 x 46 = 1127331660

Therefore, the lowest common multiple of 382,390,329,460 is 1127331660.

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.

382 x 390 x 329 x 460 = 22546633200

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.

382 : 1, 2, 191, 382

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

329 : 1, 7, 47, 329

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,390,329,460, is 1.

Now, the common factors can be found like this.

382:2x 191

390:2x 3x 5x 13

329:7x 47

460:2x 2x 5x 23

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 5 = 20

Therefore, the value for common factors is 20.

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 = 22546633200/(1x20)

LCM = 22546633200/20

LCM = 1127331660

Thus, we can understand that the LCM of 382,390,329,460 is 1127331660.

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

• LCM of 324, 621, 846, 336
• LCM of 408, 541, 411, 129
• LCM of 892, 710, 484, 706
• LCM of 359, 130, 166, 105
• LCM of 123, 831, 903, 848

1. What is the LCM of 382, 390, 329, 460?

Answer: LCM of 382, 390, 329, 460 is 1127331660.

2. How to calculate the LCM of 382, 390, 329, 460?

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 382, 390, 329, 460.

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}.