Given numbers are 413,464,412,584

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

The LCM of 413,464,412,584 is 1440881008.

Find LCM of 413,464,412,584 with Prime Factorization

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

2 x 2 x 2 x 413 x 58 x 103 x 73 = 1440881008

Therefore, the lowest common multiple of 413,464,412,584 is 1440881008.

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 464 x 412 x 584 = 46108192256

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

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,464,412,584, is 1.

Now, the common factors can be found like this.

413:7x 59

464:2x 2x 2x 2x 29

412:2x 2x 103

584:2x 2x 2x 73

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 2 = 32

Therefore, the value for common factors is 32.

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 = 46108192256/(1x32)

LCM = 46108192256/32

LCM = 1440881008

Thus, we can understand that the LCM of 413,464,412,584 is 1440881008.

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

• LCM of 370, 963, 197, 806
• LCM of 347, 749, 837, 419
• LCM of 368, 538, 945, 225
• LCM of 434, 863, 898, 629
• LCM of 210, 233, 549, 943

1. What is the LCM of 413, 464, 412, 584?

Answer: LCM of 413, 464, 412, 584 is 1440881008.

2. How to calculate the LCM of 413, 464, 412, 584?

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, 464, 412, 584.

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}.