Given numbers are 258,224,672,593

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

The LCM of 258,224,672,593 is 17135328.

Find LCM of 258,224,672,593 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 7 x 43 x 1 x 1 x 593 = 17135328

Therefore, the lowest common multiple of 258,224,672,593 is 17135328.

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.

258 x 224 x 672 x 593 = 23029880832

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

593 : 1, 593

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,224,672,593, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

224:2x 2x 2x 2x 2x 7

672:2x 2x 2x 2x 2x 3x 7

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 2x 2x 2x 3x 7 = 1344

Therefore, the value for common factors is 1344.

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 = 23029880832/(1x1344)

LCM = 23029880832/1344

LCM = 17135328

Thus, we can understand that the LCM of 258,224,672,593 is 17135328.

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

• LCM of 268, 270, 440, 113
• LCM of 573, 646, 472, 950
• LCM of 960, 633, 469, 204
• LCM of 817, 856, 834, 804
• LCM of 667, 650, 171, 943

1. What is the LCM of 258, 224, 672, 593?

Answer: LCM of 258, 224, 672, 593 is 17135328.

2. How to calculate the LCM of 258, 224, 672, 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 258, 224, 672, 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}.