Given numbers are 489,278,524,780

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

The LCM of 489,278,524,780 is 2315092260.

Find LCM of 489,278,524,780 with Prime Factorization

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

2 x 2 x 3 x 163 x 139 x 131 x 65 = 2315092260

Therefore, the lowest common multiple of 489,278,524,780 is 2315092260.

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 278 x 524 x 780 = 55562214240

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

278 : 1, 2, 139, 278

524 : 1, 2, 4, 131, 262, 524

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,278,524,780, is 1.

Now, the common factors can be found like this.

489:3x 163

278:2x 139

524:2x 2x 131

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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 55562214240/(1x24)

LCM = 55562214240/24

LCM = 2315092260

Thus, we can understand that the LCM of 489,278,524,780 is 2315092260.

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

• LCM of 281, 383, 879, 110
• LCM of 853, 808, 115, 188
• LCM of 680, 357, 572, 844
• LCM of 294, 837, 142, 649
• LCM of 269, 556, 909, 787

1. What is the LCM of 489, 278, 524, 780?

Answer: LCM of 489, 278, 524, 780 is 2315092260.

2. How to calculate the LCM of 489, 278, 524, 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, 278, 524, 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}.