Given numbers are 404,468,446,577

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

The LCM of 404,468,446,577 is 6082020828.

Find LCM of 404,468,446,577 with Prime Factorization

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

2 x 2 x 101 x 117 x 223 x 577 = 6082020828

Therefore, the lowest common multiple of 404,468,446,577 is 6082020828.

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.

404 x 468 x 446 x 577 = 48656166624

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.

404 : 1, 2, 4, 101, 202, 404

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

446 : 1, 2, 223, 446

577 : 1, 577

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,468,446,577, is 1.

Now, the common factors can be found like this.

404:2x 2x 101

468:2x 2x 3x 3x 13

446:2x 223

577:577

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 2 = 8

Therefore, the value for common factors is 8.

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 = 48656166624/(1x8)

LCM = 48656166624/8

LCM = 6082020828

Thus, we can understand that the LCM of 404,468,446,577 is 6082020828.

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

• LCM of 488, 393, 926, 522
• LCM of 700, 611, 774, 705
• LCM of 562, 563, 985, 966
• LCM of 530, 404, 240, 146
• LCM of 485, 813, 293, 511

1. What is the LCM of 404, 468, 446, 577?

Answer: LCM of 404, 468, 446, 577 is 6082020828.

2. How to calculate the LCM of 404, 468, 446, 577?

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 404, 468, 446, 577.

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}.