Given numbers are 489,681,546,780

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

The LCM of 489,681,546,780 is 202025460.

Find LCM of 489,681,546,780 with Prime Factorization

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

2 x 3 x 13 x 163 x 227 x 7 x 10 = 202025460

Therefore, the lowest common multiple of 489,681,546,780 is 202025460.

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 546 x 780 = 141821872920

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,681,546,780, is 3.

Now, the common factors can be found like this.

489:3x 163

681:3x 227

546:2x 3x 7x 13

780:2x 2x 3x 5x 13

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 13 = 234

Therefore, the value for common factors is 234.

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 = 141821872920/(3x234)

LCM = 141821872920/702

LCM = 202025460

Thus, we can understand that the LCM of 489,681,546,780 is 202025460.

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

• LCM of 488, 484, 376, 617
• LCM of 454, 408, 381, 853
• LCM of 610, 788, 132, 616
• LCM of 551, 860, 723, 912
• LCM of 546, 568, 773, 738

1. What is the LCM of 489, 681, 546, 780?

Answer: LCM of 489, 681, 546, 780 is 202025460.

2. How to calculate the LCM of 489, 681, 546, 780?

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, 546, 780.

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}.