Given numbers are 104,406,758,242,624

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

The LCM of 104,406,758,242,624 is 5809051248.

Find LCM of 104,406,758,242,624 with Prime Factorization

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

2 x 2 x 2 x 13 x 1 x 203 x 379 x 121 x 6 = 5809051248

Therefore, the lowest common multiple of 104,406,758,242,624 is 5809051248.

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.

104 x 406 x 758 x 242 x 624 = 4833130638336

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.

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

758 : 1, 2, 379, 758

242 : 1, 2, 11, 22, 121, 242

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,406,758,242,624, is 2.

Now, the common factors can be found like this.

104:2x 2x 2x 13

406:2x 7x 29

758:2x 379

242:2x 11x 11

624:2x 2x 2x 2x 3x 13

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 13 = 416

Therefore, the value for common factors is 416.

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 = 4833130638336/(2x416)

LCM = 4833130638336/832

LCM = 5809051248

Thus, we can understand that the LCM of 104,406,758,242,624 is 5809051248.

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

• LCM of 597, 210, 454, 248, 966
• LCM of 435, 289, 825, 230, 858
• LCM of 799, 903, 908, 871, 383
• LCM of 670, 742, 169, 388, 689
• LCM of 561, 934, 988, 733, 806

1. What is the LCM of 104, 406, 758, 242, 624?

Answer: LCM of 104, 406, 758, 242, 624 is 5809051248.

2. How to calculate the LCM of 104, 406, 758, 242, 624?

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 104, 406, 758, 242, 624.

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}.