Given numbers are 464,232,580,257

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

The LCM of 464,232,580,257 is 596240.

Find LCM of 464,232,580,257 with Prime Factorization

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

2 x 2 x 2 x 29 x 1 x 2 x 5 x 257 = 596240

Therefore, the lowest common multiple of 464,232,580,257 is 596240.

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.

464 x 232 x 580 x 257 = 16046010880

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

232 : 1, 2, 4, 8, 29, 58, 116, 232

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,232,580,257, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

232:2x 2x 2x 29

580:2x 2x 5x 29

257:257

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 29x 29 = 26912

Therefore, the value for common factors is 26912.

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 = 16046010880/(1x26912)

LCM = 16046010880/26912

LCM = 596240

Thus, we can understand that the LCM of 464,232,580,257 is 596240.

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

• LCM of 831, 509, 774, 147
• LCM of 330, 115, 378, 184
• LCM of 156, 628, 867, 669
• LCM of 784, 899, 345, 307
• LCM of 223, 616, 126, 179

1. What is the LCM of 464, 232, 580, 257?

Answer: LCM of 464, 232, 580, 257 is 596240.

2. How to calculate the LCM of 464, 232, 580, 257?

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 464, 232, 580, 257.

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}.