Given numbers are 315,860,163,230,460

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

The LCM of 315,860,163,230,460 is 203120820.

Find LCM of 315,860,163,230,460 with Prime Factorization

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

2 x 2 x 5 x 23 x 63 x 43 x 163 x 1 x 1 = 203120820

Therefore, the lowest common multiple of 315,860,163,230,460 is 203120820.

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.

315 x 860 x 163 x 230 x 460 = 4671778860000

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

163 : 1, 163

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,860,163,230,460, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

860:2x 2x 5x 43

163:163

230:2x 5x 23

460:2x 2x 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.

2x 2x 2x 5x 5x 5x 23 = 23000

Therefore, the value for common factors is 23000.

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 = 4671778860000/(1x23000)

LCM = 4671778860000/23000

LCM = 203120820

Thus, we can understand that the LCM of 315,860,163,230,460 is 203120820.

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

• LCM of 202, 670, 278, 612, 574
• LCM of 184, 485, 721, 922, 866
• LCM of 806, 849, 609, 945, 155
• LCM of 492, 537, 677, 970, 230
• LCM of 920, 512, 297, 238, 297

1. What is the LCM of 315, 860, 163, 230, 460?

Answer: LCM of 315, 860, 163, 230, 460 is 203120820.

2. How to calculate the LCM of 315, 860, 163, 230, 460?

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 315, 860, 163, 230, 460.

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}.