Given numbers are 382,286,720,431

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

The LCM of 382,286,720,431 is 8475770160.

Find LCM of 382,286,720,431 with Prime Factorization

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

2 x 191 x 143 x 360 x 431 = 8475770160

Therefore, the lowest common multiple of 382,286,720,431 is 8475770160.

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 286 x 720 x 431 = 33903080640

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,286,720,431, is 1.

Now, the common factors can be found like this.

382:2x 191

286:2x 11x 13

720:2x 2x 2x 2x 3x 3x 5

431:431

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 = 33903080640/(1x4)

LCM = 33903080640/4

LCM = 8475770160

Thus, we can understand that the LCM of 382,286,720,431 is 8475770160.

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

• LCM of 234, 537, 835, 580
• LCM of 538, 598, 933, 289
• LCM of 994, 677, 878, 527
• LCM of 522, 712, 667, 556
• LCM of 162, 892, 711, 306

1. What is the LCM of 382, 286, 720, 431?

Answer: LCM of 382, 286, 720, 431 is 8475770160.

2. How to calculate the LCM of 382, 286, 720, 431?

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, 286, 720, 431.

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}.