Given numbers are 582,208,214,208,546

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

The LCM of 582,208,214,208,546 is 45335472.

Find LCM of 582,208,214,208,546 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 97 x 1 x 107 x 1 x 7 = 45335472

Therefore, the lowest common multiple of 582,208,214,208,546 is 45335472.

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.

582 x 208 x 214 x 208 x 546 = 2942090790912

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

214 : 1, 2, 107, 214

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,208,214,208,546, is 2.

Now, the common factors can be found like this.

582:2x 3x 97

208:2x 2x 2x 2x 13

214:2x 107

208:2x 2x 2x 2x 13

546:2x 3x 7x 13

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 13x 13 = 32448

Therefore, the value for common factors is 32448.

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 = 2942090790912/(2x32448)

LCM = 2942090790912/64896

LCM = 45335472

Thus, we can understand that the LCM of 582,208,214,208,546 is 45335472.

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

• LCM of 954, 686, 796, 283, 258
• LCM of 713, 162, 328, 877, 559
• LCM of 350, 262, 115, 261, 614
• LCM of 159, 429, 214, 518, 291
• LCM of 974, 585, 583, 212, 278

1. What is the LCM of 582, 208, 214, 208, 546?

Answer: LCM of 582, 208, 214, 208, 546 is 45335472.

2. How to calculate the LCM of 582, 208, 214, 208, 546?

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 582, 208, 214, 208, 546.

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}.