Given numbers are 258,290,260,856,638

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

The LCM of 258,290,260,856,638 is 2289641640.

Find LCM of 258,290,260,856,638 with Prime Factorization

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

2 x 2 x 5 x 29 x 129 x 1 x 13 x 214 x 11 = 2289641640

Therefore, the lowest common multiple of 258,290,260,856,638 is 2289641640.

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 290 x 260 x 856 x 638 = 10623937209600

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

290 : 1, 2, 5, 10, 29, 58, 145, 290

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

856 : 1, 2, 4, 8, 107, 214, 428, 856

638 : 1, 2, 11, 22, 29, 58, 319, 638

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,290,260,856,638, is 2.

Now, the common factors can be found like this.

258:2x 3x 43

290:2x 5x 29

260:2x 2x 5x 13

856:2x 2x 2x 107

638:2x 11x 29

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 5x 29 = 2320

Therefore, the value for common factors is 2320.

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 = 10623937209600/(2x2320)

LCM = 10623937209600/4640

LCM = 2289641640

Thus, we can understand that the LCM of 258,290,260,856,638 is 2289641640.

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

• LCM of 232, 270, 536, 809, 780
• LCM of 117, 413, 860, 774, 982
• LCM of 789, 703, 275, 189, 651
• LCM of 242, 147, 150, 138, 159
• LCM of 614, 907, 237, 447, 741

1. What is the LCM of 258, 290, 260, 856, 638?

Answer: LCM of 258, 290, 260, 856, 638 is 2289641640.

2. How to calculate the LCM of 258, 290, 260, 856, 638?

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, 290, 260, 856, 638.

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}.