Given numbers are 723,440,879,828,204

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

The LCM of 723,440,879,828,204 is 109334344680.

Find LCM of 723,440,879,828,204 with Prime Factorization

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

2 x 2 x 3 x 241 x 110 x 293 x 69 x 17 = 109334344680

Therefore, the lowest common multiple of 723,440,879,828,204 is 109334344680.

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.

723 x 440 x 879 x 828 x 204 = 47232436901760

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.

723 : 1, 3, 241, 723

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

879 : 1, 3, 293, 879

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

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,440,879,828,204, is 1.

Now, the common factors can be found like this.

723:3x 241

440:2x 2x 2x 5x 11

879:3x 293

828:2x 2x 3x 3x 23

204:2x 2x 3x 17

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 47232436901760/(1x432)

LCM = 47232436901760/432

LCM = 109334344680

Thus, we can understand that the LCM of 723,440,879,828,204 is 109334344680.

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

• LCM of 240, 977, 179, 244, 124
• LCM of 341, 596, 132, 986, 281
• LCM of 991, 275, 522, 472, 316
• LCM of 156, 279, 569, 562, 162
• LCM of 417, 755, 798, 388, 488

1. What is the LCM of 723, 440, 879, 828, 204?

Answer: LCM of 723, 440, 879, 828, 204 is 109334344680.

2. How to calculate the LCM of 723, 440, 879, 828, 204?

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 723, 440, 879, 828, 204.

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}.