Given numbers are 730,412,207,460

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

The LCM of 730,412,207,460 is 31128660.

Find LCM of 730,412,207,460 with Prime Factorization

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

2 x 2 x 5 x 23 x 73 x 103 x 9 x 1 = 31128660

Therefore, the lowest common multiple of 730,412,207,460 is 31128660.

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.

730 x 412 x 207 x 460 = 28638367200

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.

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

412 : 1, 2, 4, 103, 206, 412

207 : 1, 3, 9, 23, 69, 207

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,412,207,460, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

412:2x 2x 103

207:3x 3x 23

460:2x 2x 5x 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 5x 23 = 920

Therefore, the value for common factors is 920.

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 = 28638367200/(1x920)

LCM = 28638367200/920

LCM = 31128660

Thus, we can understand that the LCM of 730,412,207,460 is 31128660.

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

• LCM of 651, 589, 543, 347
• LCM of 785, 832, 977, 545
• LCM of 613, 728, 870, 665
• LCM of 803, 887, 170, 679
• LCM of 204, 818, 721, 377

1. What is the LCM of 730, 412, 207, 460?

Answer: LCM of 730, 412, 207, 460 is 31128660.

2. How to calculate the LCM of 730, 412, 207, 460?

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 730, 412, 207, 460.

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}.