Given numbers are 579,104,828,624

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

The LCM of 579,104,828,624 is 8309808.

Find LCM of 579,104,828,624 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 193 x 1 x 69 x 2 = 8309808

Therefore, the lowest common multiple of 579,104,828,624 is 8309808.

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.

579 x 104 x 828 x 624 = 31111921152

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.

579 : 1, 3, 193, 579

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,104,828,624, is 1.

Now, the common factors can be found like this.

579:3x 193

104:2x 2x 2x 13

828:2x 2x 3x 3x 23

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 3x 3x 13 = 3744

Therefore, the value for common factors is 3744.

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 = 31111921152/(1x3744)

LCM = 31111921152/3744

LCM = 8309808

Thus, we can understand that the LCM of 579,104,828,624 is 8309808.

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

• LCM of 388, 685, 854, 994
• LCM of 737, 927, 621, 276
• LCM of 345, 767, 301, 960
• LCM of 794, 218, 774, 745
• LCM of 852, 486, 166, 625

1. What is the LCM of 579, 104, 828, 624?

Answer: LCM of 579, 104, 828, 624 is 8309808.

2. How to calculate the LCM of 579, 104, 828, 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 579, 104, 828, 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}.