Given numbers are 828,730,283,896,807

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

The LCM of 828,730,283,896,807 is 5153590834560.

Find LCM of 828,730,283,896,807 with Prime Factorization

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

2 x 2 x 3 x 69 x 365 x 283 x 224 x 269 = 5153590834560

Therefore, the lowest common multiple of 828,730,283,896,807 is 5153590834560.

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 730 x 283 x 896 x 807 = 123686180029440

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

730 : 1, 2, 5, 10, 73, 146, 365, 730

283 : 1, 283

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

807 : 1, 3, 269, 807

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,730,283,896,807, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

730:2x 5x 73

283:283

896:2x 2x 2x 2x 2x 2x 2x 7

807:3x 269

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 3 = 24

Therefore, the value for common factors is 24.

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 = 123686180029440/(1x24)

LCM = 123686180029440/24

LCM = 5153590834560

Thus, we can understand that the LCM of 828,730,283,896,807 is 5153590834560.

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

• LCM of 744, 763, 379, 336, 954
• LCM of 605, 975, 629, 906, 435
• LCM of 519, 389, 613, 293, 228
• LCM of 942, 134, 887, 273, 328
• LCM of 819, 933, 231, 257, 982

1. What is the LCM of 828, 730, 283, 896, 807?

Answer: LCM of 828, 730, 283, 896, 807 is 5153590834560.

2. How to calculate the LCM of 828, 730, 283, 896, 807?

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, 730, 283, 896, 807.

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}.