Given numbers are 584,146,242,259,361

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

The LCM of 584,146,242,259,361 is 6607013336.

Find LCM of 584,146,242,259,361 with Prime Factorization

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

2 x 73 x 4 x 1 x 121 x 259 x 361 = 6607013336

Therefore, the lowest common multiple of 584,146,242,259,361 is 6607013336.

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.

584 x 146 x 242 x 259 x 361 = 1929247894112

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

146 : 1, 2, 73, 146

242 : 1, 2, 11, 22, 121, 242

259 : 1, 7, 37, 259

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,146,242,259,361, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

146:2x 73

242:2x 11x 11

259:7x 37

361:19x 19

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 73 = 292

Therefore, the value for common factors is 292.

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 = 1929247894112/(1x292)

LCM = 1929247894112/292

LCM = 6607013336

Thus, we can understand that the LCM of 584,146,242,259,361 is 6607013336.

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

• LCM of 834, 819, 306, 687, 564
• LCM of 460, 706, 528, 233, 223
• LCM of 221, 960, 895, 889, 798
• LCM of 600, 199, 816, 223, 407
• LCM of 638, 294, 930, 449, 863

1. What is the LCM of 584, 146, 242, 259, 361?

Answer: LCM of 584, 146, 242, 259, 361 is 6607013336.

2. How to calculate the LCM of 584, 146, 242, 259, 361?

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 584, 146, 242, 259, 361.

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}.