Given numbers are 382,728,406

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

The LCM of 382,728,406 is 4032392.

Find LCM of 382,728,406 with Prime Factorization

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

2 x 7 x 191 x 52 x 29 = 4032392

Therefore, the lowest common multiple of 382,728,406 is 4032392.

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 728 x 406 = 112906976

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

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,728,406, is 2.

Now, the common factors can be found like this.

382:2x 191

728:2x 2x 2x 7x 13

406:2x 7x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 112906976/(2x14)

LCM = 112906976/28

LCM = 4032392

Thus, we can understand that the LCM of 382,728,406 is 4032392.

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

• LCM of 330, 298, 999
• LCM of 769, 777, 817
• LCM of 569, 949, 551
• LCM of 498, 905, 831
• LCM of 360, 641, 213

1. What is the LCM of 382, 728, 406?

Answer: LCM of 382, 728, 406 is 4032392.

2. How to calculate the LCM of 382, 728, 406?

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, 728, 406.

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}.