Given numbers are 828,460,848,437,872

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

The LCM of 828,460,848,437,872 is 1817675280.

Find LCM of 828,460,848,437,872 with Prime Factorization

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

2 x 2 x 2 x 23 x 9 x 5 x 106 x 19 x 109 = 1817675280

Therefore, the lowest common multiple of 828,460,848,437,872 is 1817675280.

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 460 x 848 x 437 x 872 = 123078428559360

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

437 : 1, 19, 23, 437

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,460,848,437,872, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

460:2x 2x 5x 23

848:2x 2x 2x 2x 53

437:19x 23

872:2x 2x 2x 109

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 23x 23 = 67712

Therefore, the value for common factors is 67712.

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 = 123078428559360/(1x67712)

LCM = 123078428559360/67712

LCM = 1817675280

Thus, we can understand that the LCM of 828,460,848,437,872 is 1817675280.

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

• LCM of 798, 338, 145, 534, 922
• LCM of 702, 726, 676, 850, 309
• LCM of 641, 825, 615, 931, 489
• LCM of 381, 288, 603, 612, 547
• LCM of 688, 264, 898, 499, 272

1. What is the LCM of 828, 460, 848, 437, 872?

Answer: LCM of 828, 460, 848, 437, 872 is 1817675280.

2. How to calculate the LCM of 828, 460, 848, 437, 872?

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, 460, 848, 437, 872.

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}.