Given numbers are 468,250,325,408,593

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

The LCM of 468,250,325,408,593 is 1179477000.

Find LCM of 468,250,325,408,593 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 13 x 3 x 5 x 1 x 34 x 593 = 1179477000

Therefore, the lowest common multiple of 468,250,325,408,593 is 1179477000.

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.

468 x 250 x 325 x 408 x 593 = 9199920600000

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.

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

250 : 1, 2, 5, 10, 25, 50, 125, 250

325 : 1, 5, 13, 25, 65, 325

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

593 : 1, 593

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,250,325,408,593, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

250:2x 5x 5x 5

325:5x 5x 13

408:2x 2x 2x 3x 17

593:593

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 3x 5x 5x 13 = 7800

Therefore, the value for common factors is 7800.

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 = 9199920600000/(1x7800)

LCM = 9199920600000/7800

LCM = 1179477000

Thus, we can understand that the LCM of 468,250,325,408,593 is 1179477000.

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

• LCM of 380, 816, 602, 687, 189
• LCM of 125, 731, 772, 106, 628
• LCM of 984, 790, 500, 415, 500
• LCM of 424, 573, 217, 582, 881
• LCM of 934, 706, 779, 354, 788

1. What is the LCM of 468, 250, 325, 408, 593?

Answer: LCM of 468, 250, 325, 408, 593 is 1179477000.

2. How to calculate the LCM of 468, 250, 325, 408, 593?

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 468, 250, 325, 408, 593.

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}.