Given numbers are 289,579,912,381,431

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

The LCM of 289,579,912,381,431 is 2784395871888.

Find LCM of 289,579,912,381,431 with Prime Factorization

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

3 x 289 x 193 x 304 x 127 x 431 = 2784395871888

Therefore, the lowest common multiple of 289,579,912,381,431 is 2784395871888.

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.

289 x 579 x 912 x 381 x 431 = 25059562846992

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.

289 : 1, 17, 289

579 : 1, 3, 193, 579

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

381 : 1, 3, 127, 381

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,579,912,381,431, is 1.

Now, the common factors can be found like this.

289:17x 17

579:3x 193

912:2x 2x 2x 2x 3x 19

381:3x 127

431:431

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 25059562846992/(1x9)

LCM = 25059562846992/9

LCM = 2784395871888

Thus, we can understand that the LCM of 289,579,912,381,431 is 2784395871888.

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

• LCM of 300, 297, 518, 423, 934
• LCM of 862, 772, 441, 131, 968
• LCM of 630, 427, 539, 215, 842
• LCM of 722, 789, 959, 699, 371
• LCM of 321, 504, 629, 222, 779

1. What is the LCM of 289, 579, 912, 381, 431?

Answer: LCM of 289, 579, 912, 381, 431 is 2784395871888.

2. How to calculate the LCM of 289, 579, 912, 381, 431?

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 289, 579, 912, 381, 431.

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}.