Given numbers are 382,338,645,353,676

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

The LCM of 382,338,645,353,676 is 29397776460.

Find LCM of 382,338,645,353,676 with Prime Factorization

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

2 x 13 x 13 x 191 x 1 x 645 x 353 x 2 = 29397776460

Therefore, the lowest common multiple of 382,338,645,353,676 is 29397776460.

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 338 x 645 x 353 x 676 = 19872896886960

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

338 : 1, 2, 13, 26, 169, 338

645 : 1, 3, 5, 15, 43, 129, 215, 645

353 : 1, 353

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,338,645,353,676, is 1.

Now, the common factors can be found like this.

382:2x 191

338:2x 13x 13

645:3x 5x 43

353:353

676:2x 2x 13x 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 13x 13 = 676

Therefore, the value for common factors is 676.

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 = 19872896886960/(1x676)

LCM = 19872896886960/676

LCM = 29397776460

Thus, we can understand that the LCM of 382,338,645,353,676 is 29397776460.

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

• LCM of 879, 289, 580, 249, 980
• LCM of 965, 614, 772, 958, 710
• LCM of 816, 754, 453, 975, 193
• LCM of 139, 323, 478, 497, 282
• LCM of 137, 325, 658, 687, 132

1. What is the LCM of 382, 338, 645, 353, 676?

Answer: LCM of 382, 338, 645, 353, 676 is 29397776460.

2. How to calculate the LCM of 382, 338, 645, 353, 676?

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, 338, 645, 353, 676.

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}.