Given numbers are 845,640,440,624,489

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

The LCM of 845,640,440,624,489 is 581792640.

Find LCM of 845,640,440,624,489 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 13 x 1 x 8 x 11 x 13 x 163 = 581792640

Therefore, the lowest common multiple of 845,640,440,624,489 is 581792640.

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.

845 x 640 x 440 x 624 x 489 = 72607721472000

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.

845 : 1, 5, 13, 65, 169, 845

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,640,440,624,489, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

640:2x 2x 2x 2x 2x 2x 2x 5

440:2x 2x 2x 5x 11

624:2x 2x 2x 2x 3x 13

489:3x 163

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 2x 2x 2x 2x 3x 5x 5x 13 = 124800

Therefore, the value for common factors is 124800.

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 = 72607721472000/(1x124800)

LCM = 72607721472000/124800

LCM = 581792640

Thus, we can understand that the LCM of 845,640,440,624,489 is 581792640.

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

• LCM of 203, 583, 539, 375, 319
• LCM of 506, 258, 687, 975, 194
• LCM of 940, 670, 457, 269, 686
• LCM of 322, 736, 443, 822, 933
• LCM of 170, 891, 540, 973, 325

1. What is the LCM of 845, 640, 440, 624, 489?

Answer: LCM of 845, 640, 440, 624, 489 is 581792640.

2. How to calculate the LCM of 845, 640, 440, 624, 489?

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 845, 640, 440, 624, 489.

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}.