Given numbers are 580,564,284,214,268

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

The LCM of 580,564,284,214,268 is 41625938220.

Find LCM of 580,564,284,214,268 with Prime Factorization

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

2 x 2 x 145 x 141 x 71 x 107 x 67 = 41625938220

Therefore, the lowest common multiple of 580,564,284,214,268 is 41625938220.

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.

580 x 564 x 284 x 214 x 268 = 5328120092160

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.

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

284 : 1, 2, 4, 71, 142, 284

214 : 1, 2, 107, 214

268 : 1, 2, 4, 67, 134, 268

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,564,284,214,268, is 2.

Now, the common factors can be found like this.

580:2x 2x 5x 29

564:2x 2x 3x 47

284:2x 2x 71

214:2x 107

268:2x 2x 67

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 2 = 64

Therefore, the value for common factors is 64.

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 = 5328120092160/(2x64)

LCM = 5328120092160/128

LCM = 41625938220

Thus, we can understand that the LCM of 580,564,284,214,268 is 41625938220.

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

• LCM of 257, 544, 742, 215, 246
• LCM of 180, 357, 826, 266, 350
• LCM of 435, 465, 211, 416, 966
• LCM of 907, 638, 621, 816, 812
• LCM of 689, 462, 673, 580, 405

1. What is the LCM of 580, 564, 284, 214, 268?

Answer: LCM of 580, 564, 284, 214, 268 is 41625938220.

2. How to calculate the LCM of 580, 564, 284, 214, 268?

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 580, 564, 284, 214, 268.

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}.