Given numbers are 849,255,580,840,675

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

The LCM of 849,255,580,840,675 is 5273818200.

Find LCM of 849,255,580,840,675 with Prime Factorization

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

2 x 2 x 3 x 5 x 283 x 17 x 29 x 14 x 45 = 5273818200

Therefore, the lowest common multiple of 849,255,580,840,675 is 5273818200.

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.

849 x 255 x 580 x 840 x 675 = 71196545700000

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.

849 : 1, 3, 283, 849

255 : 1, 3, 5, 15, 17, 51, 85, 255

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,255,580,840,675, is 1.

Now, the common factors can be found like this.

849:3x 283

255:3x 5x 17

580:2x 2x 5x 29

840:2x 2x 2x 3x 5x 7

675:3x 3x 3x 5x 5

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 3x 5x 5x 5 = 13500

Therefore, the value for common factors is 13500.

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 = 71196545700000/(1x13500)

LCM = 71196545700000/13500

LCM = 5273818200

Thus, we can understand that the LCM of 849,255,580,840,675 is 5273818200.

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

• LCM of 702, 713, 829, 633, 400
• LCM of 150, 638, 248, 150, 298
• LCM of 646, 477, 871, 932, 748
• LCM of 459, 580, 111, 288, 737
• LCM of 861, 659, 294, 247, 549

1. What is the LCM of 849, 255, 580, 840, 675?

Answer: LCM of 849, 255, 580, 840, 675 is 5273818200.

2. How to calculate the LCM of 849, 255, 580, 840, 675?

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 849, 255, 580, 840, 675.

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}.