Given numbers are 395,567,382,406

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

The LCM of 395,567,382,406 is 2481084270.

Find LCM of 395,567,382,406 with Prime Factorization

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

2 x 7 x 395 x 81 x 191 x 29 = 2481084270

Therefore, the lowest common multiple of 395,567,382,406 is 2481084270.

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.

395 x 567 x 382 x 406 = 34735179780

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.

395 : 1, 5, 79, 395

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

382 : 1, 2, 191, 382

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,567,382,406, is 1.

Now, the common factors can be found like this.

395:5x 79

567:3x 3x 3x 3x 7

382:2x 191

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 = 34735179780/(1x14)

LCM = 34735179780/14

LCM = 2481084270

Thus, we can understand that the LCM of 395,567,382,406 is 2481084270.

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

• LCM of 811, 503, 385, 146
• LCM of 916, 139, 544, 343
• LCM of 124, 426, 441, 432
• LCM of 575, 966, 295, 233
• LCM of 134, 614, 508, 906

1. What is the LCM of 395, 567, 382, 406?

Answer: LCM of 395, 567, 382, 406 is 2481084270.

2. How to calculate the LCM of 395, 567, 382, 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 395, 567, 382, 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}.