Given numbers are 172,230,878,323,108

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

The LCM of 172,230,878,323,108 is 75728105820.

Find LCM of 172,230,878,323,108 with Prime Factorization

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

2 x 2 x 43 x 115 x 439 x 323 x 27 = 75728105820

Therefore, the lowest common multiple of 172,230,878,323,108 is 75728105820.

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.

172 x 230 x 878 x 323 x 108 = 1211649693120

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.

172 : 1, 2, 4, 43, 86, 172

230 : 1, 2, 5, 10, 23, 46, 115, 230

878 : 1, 2, 439, 878

323 : 1, 17, 19, 323

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,230,878,323,108, is 1.

Now, the common factors can be found like this.

172:2x 2x 43

230:2x 5x 23

878:2x 439

323:17x 19

108:2x 2x 3x 3x 3

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 2 = 16

Therefore, the value for common factors is 16.

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 = 1211649693120/(1x16)

LCM = 1211649693120/16

LCM = 75728105820

Thus, we can understand that the LCM of 172,230,878,323,108 is 75728105820.

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

• LCM of 446, 745, 248, 702, 653
• LCM of 774, 303, 584, 690, 531
• LCM of 693, 732, 238, 806, 695
• LCM of 545, 894, 783, 326, 629
• LCM of 776, 338, 645, 455, 668

1. What is the LCM of 172, 230, 878, 323, 108?

Answer: LCM of 172, 230, 878, 323, 108 is 75728105820.

2. How to calculate the LCM of 172, 230, 878, 323, 108?

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 172, 230, 878, 323, 108.

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}.