Given numbers are 590,717,216,432

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

The LCM of 590,717,216,432 is 30458160.

Find LCM of 590,717,216,432 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 3 x 295 x 239 x 1 x 2 = 30458160

Therefore, the lowest common multiple of 590,717,216,432 is 30458160.

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.

590 x 717 x 216 x 432 = 39473775360

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

717 : 1, 3, 239, 717

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,717,216,432, is 1.

Now, the common factors can be found like this.

590:2x 5x 59

717:3x 239

216:2x 2x 2x 3x 3x 3

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

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 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 39473775360/(1x1296)

LCM = 39473775360/1296

LCM = 30458160

Thus, we can understand that the LCM of 590,717,216,432 is 30458160.

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

• LCM of 506, 712, 405, 540
• LCM of 996, 824, 952, 910
• LCM of 870, 918, 744, 916
• LCM of 971, 265, 561, 401
• LCM of 892, 932, 715, 369

1. What is the LCM of 590, 717, 216, 432?

Answer: LCM of 590, 717, 216, 432 is 30458160.

2. How to calculate the LCM of 590, 717, 216, 432?

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 590, 717, 216, 432.

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}.