Given numbers are 230,560,855,457,471

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

The LCM of 230,560,855,457,471 is 158025737520.

Find LCM of 230,560,855,457,471 with Prime Factorization

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

2 x 3 x 5 x 23 x 56 x 57 x 457 x 157 = 158025737520

Therefore, the lowest common multiple of 230,560,855,457,471 is 158025737520.

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.

230 x 560 x 855 x 457 x 471 = 23703860628000

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.

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

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

457 : 1, 457

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,560,855,457,471, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

560:2x 2x 2x 2x 5x 7

855:3x 3x 5x 19

457:457

471:3x 157

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 5x 5 = 150

Therefore, the value for common factors is 150.

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 = 23703860628000/(1x150)

LCM = 23703860628000/150

LCM = 158025737520

Thus, we can understand that the LCM of 230,560,855,457,471 is 158025737520.

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

• LCM of 857, 480, 799, 488, 187
• LCM of 879, 805, 548, 380, 294
• LCM of 725, 466, 399, 234, 285
• LCM of 363, 928, 157, 690, 735
• LCM of 332, 849, 818, 762, 130

1. What is the LCM of 230, 560, 855, 457, 471?

Answer: LCM of 230, 560, 855, 457, 471 is 158025737520.

2. How to calculate the LCM of 230, 560, 855, 457, 471?

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 230, 560, 855, 457, 471.

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}.