Given numbers are 489,681,489,780,686

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

The LCM of 489,681,489,780,686 is 9899247540.

Find LCM of 489,681,489,780,686 with Prime Factorization

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

2 x 3 x 163 x 1 x 227 x 1 x 130 x 343 = 9899247540

Therefore, the lowest common multiple of 489,681,489,780,686 is 9899247540.

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 681 x 489 x 780 x 686 = 87133176847080

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

681 : 1, 3, 227, 681

489 : 1, 3, 163, 489

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,681,489,780,686, is 1.

Now, the common factors can be found like this.

489:3x 163

681:3x 227

489:3x 163

780:2x 2x 3x 5x 13

686:2x 7x 7x 7

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 3x 3x 163 = 8802

Therefore, the value for common factors is 8802.

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 = 87133176847080/(1x8802)

LCM = 87133176847080/8802

LCM = 9899247540

Thus, we can understand that the LCM of 489,681,489,780,686 is 9899247540.

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

• LCM of 429, 399, 523, 886, 651
• LCM of 618, 506, 727, 772, 868
• LCM of 659, 921, 236, 498, 355
• LCM of 316, 716, 180, 135, 269
• LCM of 387, 545, 979, 681, 193

1. What is the LCM of 489, 681, 489, 780, 686?

Answer: LCM of 489, 681, 489, 780, 686 is 9899247540.

2. How to calculate the LCM of 489, 681, 489, 780, 686?

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, 681, 489, 780, 686.

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}.