Given numbers are 259,406,422,408,742

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

The LCM of 259,406,422,408,742 is 34270169304.

Find LCM of 259,406,422,408,742 with Prime Factorization

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

2 x 7 x 37 x 29 x 211 x 204 x 53 = 34270169304

Therefore, the lowest common multiple of 259,406,422,408,742 is 34270169304.

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.

259 x 406 x 422 x 408 x 742 = 13433906367168

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.

259 : 1, 7, 37, 259

406 : 1, 2, 7, 14, 29, 58, 203, 406

422 : 1, 2, 211, 422

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,406,422,408,742, is 1.

Now, the common factors can be found like this.

259:7x 37

406:2x 7x 29

422:2x 211

408:2x 2x 2x 3x 17

742:2x 7x 53

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 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 13433906367168/(1x392)

LCM = 13433906367168/392

LCM = 34270169304

Thus, we can understand that the LCM of 259,406,422,408,742 is 34270169304.

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

• LCM of 557, 676, 701, 247, 686
• LCM of 743, 474, 990, 921, 150
• LCM of 611, 800, 399, 898, 165
• LCM of 646, 531, 446, 780, 942
• LCM of 972, 826, 162, 361, 904

1. What is the LCM of 259, 406, 422, 408, 742?

Answer: LCM of 259, 406, 422, 408, 742 is 34270169304.

2. How to calculate the LCM of 259, 406, 422, 408, 742?

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 259, 406, 422, 408, 742.

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}.