Given numbers are 413,515,745,460

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

The LCM of 413,515,745,460 is 2915623060.

Find LCM of 413,515,745,460 with Prime Factorization

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

5 x 413 x 103 x 149 x 92 = 2915623060

Therefore, the lowest common multiple of 413,515,745,460 is 2915623060.

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.

413 x 515 x 745 x 460 = 72890576500

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.

413 : 1, 7, 59, 413

515 : 1, 5, 103, 515

745 : 1, 5, 149, 745

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 413,515,745,460, is 1.

Now, the common factors can be found like this.

413:7x 59

515:5x 103

745:5x 149

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.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 72890576500/(1x25)

LCM = 72890576500/25

LCM = 2915623060

Thus, we can understand that the LCM of 413,515,745,460 is 2915623060.

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

• LCM of 875, 239, 829, 268
• LCM of 348, 621, 320, 168
• LCM of 720, 335, 635, 653
• LCM of 742, 628, 271, 932
• LCM of 694, 329, 770, 697

1. What is the LCM of 413, 515, 745, 460?

Answer: LCM of 413, 515, 745, 460 is 2915623060.

2. How to calculate the LCM of 413, 515, 745, 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 413, 515, 745, 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}.