Given numbers are 589,291,590,424,966

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

The LCM of 589,291,590,424,966 is 3451612494120.

Find LCM of 589,291,590,424,966 with Prime Factorization

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

2 x 3 x 589 x 97 x 295 x 212 x 161 = 3451612494120

Therefore, the lowest common multiple of 589,291,590,424,966 is 3451612494120.

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.

589 x 291 x 590 x 424 x 966 = 41419349929440

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.

589 : 1, 19, 31, 589

291 : 1, 3, 97, 291

590 : 1, 2, 5, 10, 59, 118, 295, 590

424 : 1, 2, 4, 8, 53, 106, 212, 424

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,291,590,424,966, is 1.

Now, the common factors can be found like this.

589:19x 31

291:3x 97

590:2x 5x 59

424:2x 2x 2x 53

966:2x 3x 7x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 41419349929440/(1x12)

LCM = 41419349929440/12

LCM = 3451612494120

Thus, we can understand that the LCM of 589,291,590,424,966 is 3451612494120.

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

• LCM of 905, 218, 842, 855, 361
• LCM of 268, 393, 407, 926, 499
• LCM of 896, 307, 522, 620, 655
• LCM of 788, 131, 270, 549, 747
• LCM of 344, 593, 385, 475, 221

1. What is the LCM of 589, 291, 590, 424, 966?

Answer: LCM of 589, 291, 590, 424, 966 is 3451612494120.

2. How to calculate the LCM of 589, 291, 590, 424, 966?

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 589, 291, 590, 424, 966.

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}.