Given numbers are 461,531,828,406

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

The LCM of 461,531,828,406 is 4571716716.

Find LCM of 461,531,828,406 with Prime Factorization

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

2 x 3 x 3 x 461 x 59 x 46 x 203 = 4571716716

Therefore, the lowest common multiple of 461,531,828,406 is 4571716716.

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.

461 x 531 x 828 x 406 = 82290900888

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.

461 : 1, 461

531 : 1, 3, 9, 59, 177, 531

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,531,828,406, is 1.

Now, the common factors can be found like this.

461:461

531:3x 3x 59

828:2x 2x 3x 3x 23

406:2x 7x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 82290900888/(1x18)

LCM = 82290900888/18

LCM = 4571716716

Thus, we can understand that the LCM of 461,531,828,406 is 4571716716.

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

• LCM of 912, 741, 344, 112
• LCM of 989, 711, 997, 190
• LCM of 338, 954, 901, 702
• LCM of 583, 225, 404, 817
• LCM of 317, 700, 253, 779

1. What is the LCM of 461, 531, 828, 406?

Answer: LCM of 461, 531, 828, 406 is 4571716716.

2. How to calculate the LCM of 461, 531, 828, 406?

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 461, 531, 828, 406.

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}.