Given numbers are 489,482,649,460

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

The LCM of 489,482,649,460 is 35182640460.

Find LCM of 489,482,649,460 with Prime Factorization

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

2 x 489 x 241 x 649 x 230 = 35182640460

Therefore, the lowest common multiple of 489,482,649,460 is 35182640460.

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 482 x 649 x 460 = 70365280920

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

482 : 1, 2, 241, 482

649 : 1, 11, 59, 649

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 489,482,649,460, is 1.

Now, the common factors can be found like this.

489:3x 163

482:2x 241

649:11x 59

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 70365280920/(1x2)

LCM = 70365280920/2

LCM = 35182640460

Thus, we can understand that the LCM of 489,482,649,460 is 35182640460.

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

• LCM of 203, 316, 516, 129
• LCM of 311, 675, 614, 141
• LCM of 175, 257, 624, 414
• LCM of 512, 573, 911, 834
• LCM of 820, 577, 836, 382

1. What is the LCM of 489, 482, 649, 460?

Answer: LCM of 489, 482, 649, 460 is 35182640460.

2. How to calculate the LCM of 489, 482, 649, 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 489, 482, 649, 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}.