Given numbers are 489,489,360

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

The LCM of 489,489,360 is 58680.

Find LCM of 489,489,360 with Prime Factorization

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

3 x 163 x 1 x 1 x 120 = 58680

Therefore, the lowest common multiple of 489,489,360 is 58680.

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 489 x 360 = 86083560

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

489 : 1, 3, 163, 489

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,489,360, is 3.

Now, the common factors can be found like this.

489:3x 163

489:3x 163

360:2x 2x 2x 3x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 163 = 489

Therefore, the value for common factors is 489.

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 = 86083560/(3x489)

LCM = 86083560/1467

LCM = 58680

Thus, we can understand that the LCM of 489,489,360 is 58680.

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

• LCM of 142, 311, 852
• LCM of 358, 774, 477
• LCM of 655, 629, 395
• LCM of 281, 519, 266
• LCM of 998, 101, 876

1. What is the LCM of 489, 489, 360?

Answer: LCM of 489, 489, 360 is 58680.

2. How to calculate the LCM of 489, 489, 360?

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, 489, 360.

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}.