Given numbers are 828,612,698,944,483

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

The LCM of 828,612,698,944,483 is 8115489648.

Find LCM of 828,612,698,944,483 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 1 x 17 x 349 x 236 x 7 = 8115489648

Therefore, the lowest common multiple of 828,612,698,944,483 is 8115489648.

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 612 x 698 x 944 x 483 = 161271010285056

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

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

698 : 1, 2, 349, 698

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

483 : 1, 3, 7, 21, 23, 69, 161, 483

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,612,698,944,483, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

612:2x 2x 3x 3x 17

698:2x 349

944:2x 2x 2x 2x 59

483:3x 7x 23

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 3x 3x 3x 23 = 19872

Therefore, the value for common factors is 19872.

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 = 161271010285056/(1x19872)

LCM = 161271010285056/19872

LCM = 8115489648

Thus, we can understand that the LCM of 828,612,698,944,483 is 8115489648.

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

• LCM of 998, 964, 710, 619, 536
• LCM of 929, 994, 908, 879, 895
• LCM of 972, 596, 922, 236, 820
• LCM of 222, 955, 473, 932, 348
• LCM of 475, 380, 704, 171, 173

1. What is the LCM of 828, 612, 698, 944, 483?

Answer: LCM of 828, 612, 698, 944, 483 is 8115489648.

2. How to calculate the LCM of 828, 612, 698, 944, 483?

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, 612, 698, 944, 483.

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}.