Given numbers are 828,675,299,816,470

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

The LCM of 828,675,299,816,470 is 2580130800.

Find LCM of 828,675,299,816,470 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 23 x 1 x 15 x 13 x 68 x 47 = 2580130800

Therefore, the lowest common multiple of 828,675,299,816,470 is 2580130800.

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.

828 x 675 x 299 x 816 x 470 = 64090449072000

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

299 : 1, 13, 23, 299

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,675,299,816,470, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

675:3x 3x 3x 5x 5

299:13x 23

816:2x 2x 2x 2x 3x 17

470:2x 5x 47

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 3x 3x 3x 5x 23 = 24840

Therefore, the value for common factors is 24840.

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 = 64090449072000/(1x24840)

LCM = 64090449072000/24840

LCM = 2580130800

Thus, we can understand that the LCM of 828,675,299,816,470 is 2580130800.

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

• LCM of 513, 560, 365, 758, 381
• LCM of 961, 836, 462, 837, 329
• LCM of 435, 849, 618, 352, 980
• LCM of 930, 685, 612, 826, 962
• LCM of 204, 633, 914, 716, 269

1. What is the LCM of 828, 675, 299, 816, 470?

Answer: LCM of 828, 675, 299, 816, 470 is 2580130800.

2. How to calculate the LCM of 828, 675, 299, 816, 470?

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 828, 675, 299, 816, 470.

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}.