Given numbers are 381,352,322,696,579

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

The LCM of 381,352,322,696,579 is 120850603104.

Find LCM of 381,352,322,696,579 with Prime Factorization

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

2 x 2 x 2 x 3 x 127 x 44 x 161 x 29 x 193 = 120850603104

Therefore, the lowest common multiple of 381,352,322,696,579 is 120850603104.

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.

381 x 352 x 322 x 696 x 579 = 17402486846976

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.

381 : 1, 3, 127, 381

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

322 : 1, 2, 7, 14, 23, 46, 161, 322

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,352,322,696,579, is 1.

Now, the common factors can be found like this.

381:3x 127

352:2x 2x 2x 2x 2x 11

322:2x 7x 23

696:2x 2x 2x 3x 29

579:3x 193

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 17402486846976/(1x144)

LCM = 17402486846976/144

LCM = 120850603104

Thus, we can understand that the LCM of 381,352,322,696,579 is 120850603104.

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

• LCM of 593, 168, 265, 514, 803
• LCM of 446, 554, 525, 661, 504
• LCM of 693, 926, 553, 310, 603
• LCM of 881, 682, 578, 744, 867
• LCM of 475, 323, 945, 291, 762

1. What is the LCM of 381, 352, 322, 696, 579?

Answer: LCM of 381, 352, 322, 696, 579 is 120850603104.

2. How to calculate the LCM of 381, 352, 322, 696, 579?

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 381, 352, 322, 696, 579.

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}.