Given numbers are 589,408,638,812,716

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

The LCM of 589,408,638,812,716 is 96054388584.

Find LCM of 589,408,638,812,716 with Prime Factorization

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

2 x 2 x 29 x 589 x 102 x 11 x 7 x 179 = 96054388584

Therefore, the lowest common multiple of 589,408,638,812,716 is 96054388584.

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 408 x 638 x 812 x 716 = 89138472605952

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

638 : 1, 2, 11, 22, 29, 58, 319, 638

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,408,638,812,716, is 1.

Now, the common factors can be found like this.

589:19x 31

408:2x 2x 2x 3x 17

638:2x 11x 29

812:2x 2x 7x 29

716:2x 2x 179

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 2x 29 = 928

Therefore, the value for common factors is 928.

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 = 89138472605952/(1x928)

LCM = 89138472605952/928

LCM = 96054388584

Thus, we can understand that the LCM of 589,408,638,812,716 is 96054388584.

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

• LCM of 484, 408, 133, 102, 615
• LCM of 985, 109, 152, 290, 662
• LCM of 104, 530, 163, 106, 654
• LCM of 237, 166, 654, 229, 452
• LCM of 889, 811, 294, 421, 380

1. What is the LCM of 589, 408, 638, 812, 716?

Answer: LCM of 589, 408, 638, 812, 716 is 96054388584.

2. How to calculate the LCM of 589, 408, 638, 812, 716?

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, 408, 638, 812, 716.

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}.