Given numbers are 382,266,435,622,728

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

The LCM of 382,266,435,622,728 is 357411064920.

Find LCM of 382,266,435,622,728 with Prime Factorization

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

2 x 7 x 191 x 19 x 435 x 311 x 52 = 357411064920

Therefore, the lowest common multiple of 382,266,435,622,728 is 357411064920.

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 266 x 435 x 622 x 728 = 20015019635520

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

266 : 1, 2, 7, 14, 19, 38, 133, 266

435 : 1, 3, 5, 15, 29, 87, 145, 435

622 : 1, 2, 311, 622

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,266,435,622,728, is 1.

Now, the common factors can be found like this.

382:2x 191

266:2x 7x 19

435:3x 5x 29

622:2x 311

728:2x 2x 2x 7x 13

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 7 = 56

Therefore, the value for common factors is 56.

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 = 20015019635520/(1x56)

LCM = 20015019635520/56

LCM = 357411064920

Thus, we can understand that the LCM of 382,266,435,622,728 is 357411064920.

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

• LCM of 297, 875, 959, 499, 988
• LCM of 792, 453, 109, 830, 157
• LCM of 476, 654, 849, 690, 797
• LCM of 268, 722, 982, 551, 113
• LCM of 705, 959, 449, 694, 134

1. What is the LCM of 382, 266, 435, 622, 728?

Answer: LCM of 382, 266, 435, 622, 728 is 357411064920.

2. How to calculate the LCM of 382, 266, 435, 622, 728?

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, 266, 435, 622, 728.

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}.