Given numbers are 382,208,391,629

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

The LCM of 382,208,391,629 is 574744976.

Find LCM of 382,208,391,629 with Prime Factorization

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

2 x 17 x 191 x 104 x 23 x 37 = 574744976

Therefore, the lowest common multiple of 382,208,391,629 is 574744976.

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 208 x 391 x 629 = 19541329184

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

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

391 : 1, 17, 23, 391

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,208,391,629, is 1.

Now, the common factors can be found like this.

382:2x 191

208:2x 2x 2x 2x 13

391:17x 23

629:17x 37

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 19541329184/(1x34)

LCM = 19541329184/34

LCM = 574744976

Thus, we can understand that the LCM of 382,208,391,629 is 574744976.

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

• LCM of 200, 349, 905, 462
• LCM of 511, 625, 884, 251
• LCM of 207, 802, 706, 762
• LCM of 449, 500, 755, 788
• LCM of 350, 198, 959, 373

1. What is the LCM of 382, 208, 391, 629?

Answer: LCM of 382, 208, 391, 629 is 574744976.

2. How to calculate the LCM of 382, 208, 391, 629?

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, 208, 391, 629.

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}.