Given numbers are 382,413,208,374

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

The LCM of 382,413,208,374 is 3068233168.

Find LCM of 382,413,208,374 with Prime Factorization

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

2 x 191 x 413 x 104 x 187 = 3068233168

Therefore, the lowest common multiple of 382,413,208,374 is 3068233168.

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 413 x 208 x 374 = 12272932672

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

413 : 1, 7, 59, 413

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,413,208,374, is 1.

Now, the common factors can be found like this.

382:2x 191

413:7x 59

208:2x 2x 2x 2x 13

374:2x 11x 17

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 = 12272932672/(1x4)

LCM = 12272932672/4

LCM = 3068233168

Thus, we can understand that the LCM of 382,413,208,374 is 3068233168.

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

• LCM of 134, 918, 613, 359
• LCM of 340, 906, 735, 650
• LCM of 198, 955, 684, 600
• LCM of 410, 541, 933, 439
• LCM of 138, 710, 365, 707

1. What is the LCM of 382, 413, 208, 374?

Answer: LCM of 382, 413, 208, 374 is 3068233168.

2. How to calculate the LCM of 382, 413, 208, 374?

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, 413, 208, 374.

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}.