Given numbers are 382,966,304,644,470

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

The LCM of 382,966,304,644,470 is 6590554320.

Find LCM of 382,966,304,644,470 with Prime Factorization

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

2 x 2 x 7 x 23 x 191 x 3 x 76 x 1 x 235 = 6590554320

Therefore, the lowest common multiple of 382,966,304,644,470 is 6590554320.

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 966 x 304 x 644 x 470 = 33954535856640

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

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

470 : 1, 2, 5, 10, 47, 94, 235, 470

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,966,304,644,470, is 2.

Now, the common factors can be found like this.

382:2x 191

966:2x 3x 7x 23

304:2x 2x 2x 2x 19

644:2x 2x 7x 23

470:2x 5x 47

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 2x 2x 7x 23 = 2576

Therefore, the value for common factors is 2576.

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 = 33954535856640/(2x2576)

LCM = 33954535856640/5152

LCM = 6590554320

Thus, we can understand that the LCM of 382,966,304,644,470 is 6590554320.

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

• LCM of 728, 686, 298, 556, 303
• LCM of 594, 100, 964, 712, 221
• LCM of 165, 554, 152, 448, 908
• LCM of 363, 606, 736, 801, 296
• LCM of 335, 742, 863, 498, 643

1. What is the LCM of 382, 966, 304, 644, 470?

Answer: LCM of 382, 966, 304, 644, 470 is 6590554320.

2. How to calculate the LCM of 382, 966, 304, 644, 470?

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, 966, 304, 644, 470.

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}.