Given numbers are 322,229,414,757,368

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

The LCM of 322,229,414,757,368 is 4019015952.

Find LCM of 322,229,414,757,368 with Prime Factorization

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

2 x 23 x 7 x 229 x 9 x 757 x 8 = 4019015952

Therefore, the lowest common multiple of 322,229,414,757,368 is 4019015952.

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.

322 x 229 x 414 x 757 x 368 = 8504237754432

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.

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

229 : 1, 229

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

757 : 1, 757

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,229,414,757,368, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

229:229

414:2x 3x 3x 23

757:757

368:2x 2x 2x 2x 23

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 23x 23 = 2116

Therefore, the value for common factors is 2116.

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 = 8504237754432/(1x2116)

LCM = 8504237754432/2116

LCM = 4019015952

Thus, we can understand that the LCM of 322,229,414,757,368 is 4019015952.

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

• LCM of 678, 962, 478, 153, 169
• LCM of 638, 224, 173, 521, 815
• LCM of 129, 280, 197, 535, 926
• LCM of 119, 259, 516, 263, 610
• LCM of 772, 853, 679, 634, 336

1. What is the LCM of 322, 229, 414, 757, 368?

Answer: LCM of 322, 229, 414, 757, 368 is 4019015952.

2. How to calculate the LCM of 322, 229, 414, 757, 368?

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 322, 229, 414, 757, 368.

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}.