Given numbers are 561,489,493,264,582

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

The LCM of 561,489,493,264,582 is 2057833272.

Find LCM of 561,489,493,264,582 with Prime Factorization

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

2 x 3 x 11 x 17 x 1 x 163 x 29 x 4 x 97 = 2057833272

Therefore, the lowest common multiple of 561,489,493,264,582 is 2057833272.

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.

561 x 489 x 493 x 264 x 582 = 20780000380656

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

489 : 1, 3, 163, 489

493 : 1, 17, 29, 493

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,489,493,264,582, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

489:3x 163

493:17x 29

264:2x 2x 2x 3x 11

582:2x 3x 97

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 11x 17 = 10098

Therefore, the value for common factors is 10098.

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 = 20780000380656/(1x10098)

LCM = 20780000380656/10098

LCM = 2057833272

Thus, we can understand that the LCM of 561,489,493,264,582 is 2057833272.

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

• LCM of 918, 723, 101, 725, 750
• LCM of 434, 385, 333, 946, 608
• LCM of 312, 285, 685, 877, 579
• LCM of 718, 834, 975, 815, 202
• LCM of 676, 416, 937, 383, 245

1. What is the LCM of 561, 489, 493, 264, 582?

Answer: LCM of 561, 489, 493, 264, 582 is 2057833272.

2. How to calculate the LCM of 561, 489, 493, 264, 582?

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 561, 489, 493, 264, 582.

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}.