Given numbers are 489,381,780,511,444

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

The LCM of 489,381,780,511,444 is 305287169460.

Find LCM of 489,381,780,511,444 with Prime Factorization

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

2 x 2 x 3 x 163 x 127 x 65 x 511 x 37 = 305287169460

Therefore, the lowest common multiple of 489,381,780,511,444 is 305287169460.

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 381 x 780 x 511 x 444 = 32971014301680

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

381 : 1, 3, 127, 381

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

511 : 1, 7, 73, 511

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,381,780,511,444, is 1.

Now, the common factors can be found like this.

489:3x 163

381:3x 127

780:2x 2x 3x 5x 13

511:7x 73

444:2x 2x 3x 37

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

2x 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 32971014301680/(1x108)

LCM = 32971014301680/108

LCM = 305287169460

Thus, we can understand that the LCM of 489,381,780,511,444 is 305287169460.

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

• LCM of 667, 178, 727, 256, 447
• LCM of 853, 622, 562, 356, 830
• LCM of 479, 840, 842, 110, 950
• LCM of 171, 220, 821, 795, 871
• LCM of 894, 536, 684, 264, 653

1. What is the LCM of 489, 381, 780, 511, 444?

Answer: LCM of 489, 381, 780, 511, 444 is 305287169460.

2. How to calculate the LCM of 489, 381, 780, 511, 444?

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, 381, 780, 511, 444.

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}.