Given numbers are 873,828,243,311,345

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

The LCM of 873,828,243,311,345 is 3372067260.

Find LCM of 873,828,243,311,345 with Prime Factorization

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

3 x 3 x 23 x 97 x 4 x 27 x 311 x 5 = 3372067260

Therefore, the lowest common multiple of 873,828,243,311,345 is 3372067260.

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.

873 x 828 x 243 x 311 x 345 = 18846483916140

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.

873 : 1, 3, 9, 97, 291, 873

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

243 : 1, 3, 9, 27, 81, 243

311 : 1, 311

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,828,243,311,345, is 1.

Now, the common factors can be found like this.

873:3x 3x 97

828:2x 2x 3x 3x 23

243:3x 3x 3x 3x 3

311:311

345:3x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 3x 3x 23 = 5589

Therefore, the value for common factors is 5589.

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 = 18846483916140/(1x5589)

LCM = 18846483916140/5589

LCM = 3372067260

Thus, we can understand that the LCM of 873,828,243,311,345 is 3372067260.

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

• LCM of 225, 756, 124, 796, 685
• LCM of 661, 856, 611, 502, 813
• LCM of 172, 824, 877, 747, 368
• LCM of 566, 216, 318, 696, 710
• LCM of 945, 884, 664, 609, 770

1. What is the LCM of 873, 828, 243, 311, 345?

Answer: LCM of 873, 828, 243, 311, 345 is 3372067260.

2. How to calculate the LCM of 873, 828, 243, 311, 345?

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 873, 828, 243, 311, 345.

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}.