Given numbers are 489,923,218,568,225

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

The LCM of 489,923,218,568,225 is 29518093800.

Find LCM of 489,923,218,568,225 with Prime Factorization

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

2 x 3 x 71 x 163 x 13 x 109 x 4 x 75 = 29518093800

Therefore, the lowest common multiple of 489,923,218,568,225 is 29518093800.

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.

489 x 923 x 218 x 568 x 225 = 12574707958800

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.

489 : 1, 3, 163, 489

923 : 1, 13, 71, 923

218 : 1, 2, 109, 218

568 : 1, 2, 4, 8, 71, 142, 284, 568

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,923,218,568,225, is 1.

Now, the common factors can be found like this.

489:3x 163

923:13x 71

218:2x 109

568:2x 2x 2x 71

225:3x 3x 5x 5

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 71 = 426

Therefore, the value for common factors is 426.

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 = 12574707958800/(1x426)

LCM = 12574707958800/426

LCM = 29518093800

Thus, we can understand that the LCM of 489,923,218,568,225 is 29518093800.

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

• LCM of 876, 701, 806, 334, 655
• LCM of 432, 418, 590, 673, 362
• LCM of 478, 902, 419, 315, 800
• LCM of 677, 503, 563, 778, 516
• LCM of 275, 527, 596, 729, 192

1. What is the LCM of 489, 923, 218, 568, 225?

Answer: LCM of 489, 923, 218, 568, 225 is 29518093800.

2. How to calculate the LCM of 489, 923, 218, 568, 225?

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 489, 923, 218, 568, 225.

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}.