Given numbers are 273,717,828,509,138

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

The LCM of 273,717,828,509,138 is 9166159548.

Find LCM of 273,717,828,509,138 with Prime Factorization

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

2 x 3 x 23 x 91 x 239 x 6 x 509 x 1 = 9166159548

Therefore, the lowest common multiple of 273,717,828,509,138 is 9166159548.

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.

273 x 717 x 828 x 509 x 138 = 11384370158616

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

717 : 1, 3, 239, 717

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

509 : 1, 509

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 273,717,828,509,138, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

717:3x 239

828:2x 2x 3x 3x 23

509:509

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 3x 3x 3x 23 = 1242

Therefore, the value for common factors is 1242.

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 = 11384370158616/(1x1242)

LCM = 11384370158616/1242

LCM = 9166159548

Thus, we can understand that the LCM of 273,717,828,509,138 is 9166159548.

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

• LCM of 293, 685, 279, 546, 109
• LCM of 464, 531, 735, 184, 798
• LCM of 406, 210, 243, 101, 788
• LCM of 643, 152, 515, 854, 112
• LCM of 837, 584, 712, 322, 610

1. What is the LCM of 273, 717, 828, 509, 138?

Answer: LCM of 273, 717, 828, 509, 138 is 9166159548.

2. How to calculate the LCM of 273, 717, 828, 509, 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 273, 717, 828, 509, 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}.