Given numbers are 957,204,924,629,323

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

The LCM of 957,204,924,629,323 is 320238996.

Find LCM of 957,204,924,629,323 with Prime Factorization

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

2 x 2 x 3 x 11 x 17 x 29 x 1 x 7 x 37 x 19 = 320238996

Therefore, the lowest common multiple of 957,204,924,629,323 is 320238996.

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.

957 x 204 x 924 x 629 x 323 = 36649431658224

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.

957 : 1, 3, 11, 29, 33, 87, 319, 957

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

629 : 1, 17, 37, 629

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,204,924,629,323, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

204:2x 2x 3x 17

924:2x 2x 3x 7x 11

629:17x 37

323:17x 19

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 3x 3x 11x 17x 17 = 114444

Therefore, the value for common factors is 114444.

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 = 36649431658224/(1x114444)

LCM = 36649431658224/114444

LCM = 320238996

Thus, we can understand that the LCM of 957,204,924,629,323 is 320238996.

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

• LCM of 114, 550, 745, 880, 824
• LCM of 198, 969, 922, 132, 746
• LCM of 987, 577, 893, 854, 423
• LCM of 883, 354, 764, 813, 106
• LCM of 446, 333, 421, 706, 137

1. What is the LCM of 957, 204, 924, 629, 323?

Answer: LCM of 957, 204, 924, 629, 323 is 320238996.

2. How to calculate the LCM of 957, 204, 924, 629, 323?

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 957, 204, 924, 629, 323.

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}.