Given numbers are 872,504,456,408

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

The LCM of 872,504,456,408 is 17744328.

Find LCM of 872,504,456,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 109 x 21 x 19 x 17 = 17744328

Therefore, the lowest common multiple of 872,504,456,408 is 17744328.

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.

872 x 504 x 456 x 408 = 81765863424

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

8 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,504,456,408, is 8.

Now, the common factors can be found like this.

872:2x 2x 2x 109

504:2x 2x 2x 3x 3x 7

456:2x 2x 2x 3x 19

408:2x 2x 2x 3x 17

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 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 81765863424/(8x576)

LCM = 81765863424/4608

LCM = 17744328

Thus, we can understand that the LCM of 872,504,456,408 is 17744328.

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

• LCM of 227, 159, 903, 951
• LCM of 535, 418, 560, 657
• LCM of 378, 113, 793, 994
• LCM of 792, 999, 857, 303
• LCM of 271, 416, 446, 128

1. What is the LCM of 872, 504, 456, 408?

Answer: LCM of 872, 504, 456, 408 is 17744328.

2. How to calculate the LCM of 872, 504, 456, 408?

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 872, 504, 456, 408.

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}.