Given numbers are 872,432,246,408

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

The LCM of 872,432,246,408 is 32820336.

Find LCM of 872,432,246,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 109 x 18 x 41 x 17 = 32820336

Therefore, the lowest common multiple of 872,432,246,408 is 32820336.

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 432 x 246 x 408 = 37809027072

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

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

246 : 1, 2, 3, 6, 41, 82, 123, 246

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,432,246,408, is 2.

Now, the common factors can be found like this.

872:2x 2x 2x 109

432:2x 2x 2x 2x 3x 3x 3

246:2x 3x 41

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 = 37809027072/(2x576)

LCM = 37809027072/1152

LCM = 32820336

Thus, we can understand that the LCM of 872,432,246,408 is 32820336.

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

• LCM of 572, 296, 778, 439
• LCM of 835, 672, 800, 265
• LCM of 130, 399, 263, 391
• LCM of 187, 809, 555, 118
• LCM of 318, 752, 665, 407

1. What is the LCM of 872, 432, 246, 408?

Answer: LCM of 872, 432, 246, 408 is 32820336.

2. How to calculate the LCM of 872, 432, 246, 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, 432, 246, 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}.