Given numbers are 589,415,104,468,138

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

The LCM of 589,415,104,468,138 is 5262196680.

Find LCM of 589,415,104,468,138 with Prime Factorization

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

2 x 2 x 3 x 13 x 589 x 415 x 2 x 3 x 23 = 5262196680

Therefore, the lowest common multiple of 589,415,104,468,138 is 5262196680.

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 415 x 104 x 468 x 138 = 1641805364160

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

415 : 1, 5, 83, 415

104 : 1, 2, 4, 8, 13, 26, 52, 104

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,415,104,468,138, is 1.

Now, the common factors can be found like this.

589:19x 31

415:5x 83

104:2x 2x 2x 13

468:2x 2x 3x 3x 13

138:2x 3x 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 2x 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 1641805364160/(1x312)

LCM = 1641805364160/312

LCM = 5262196680

Thus, we can understand that the LCM of 589,415,104,468,138 is 5262196680.

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

• LCM of 504, 625, 956, 906, 883
• LCM of 166, 746, 880, 206, 156
• LCM of 245, 351, 550, 686, 433
• LCM of 785, 420, 181, 395, 564
• LCM of 937, 339, 413, 561, 463

1. What is the LCM of 589, 415, 104, 468, 138?

Answer: LCM of 589, 415, 104, 468, 138 is 5262196680.

2. How to calculate the LCM of 589, 415, 104, 468, 138?

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, 415, 104, 468, 138.

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}.