Given numbers are 239,249,406,408,617

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

The LCM of 239,249,406,408,617 is 1013718467496.

Find LCM of 239,249,406,408,617 with Prime Factorization

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

2 x 3 x 239 x 83 x 203 x 68 x 617 = 1013718467496

Therefore, the lowest common multiple of 239,249,406,408,617 is 1013718467496.

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.

239 x 249 x 406 x 408 x 617 = 6082310804976

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.

239 : 1, 239

249 : 1, 3, 83, 249

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

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

617 : 1, 617

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,249,406,408,617, is 1.

Now, the common factors can be found like this.

239:239

249:3x 83

406:2x 7x 29

408:2x 2x 2x 3x 17

617:617

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 6082310804976/(1x6)

LCM = 6082310804976/6

LCM = 1013718467496

Thus, we can understand that the LCM of 239,249,406,408,617 is 1013718467496.

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

• LCM of 359, 137, 675, 968, 670
• LCM of 214, 617, 724, 391, 527
• LCM of 287, 805, 314, 886, 577
• LCM of 714, 833, 727, 617, 332
• LCM of 343, 144, 869, 703, 475

1. What is the LCM of 239, 249, 406, 408, 617?

Answer: LCM of 239, 249, 406, 408, 617 is 1013718467496.

2. How to calculate the LCM of 239, 249, 406, 408, 617?

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 239, 249, 406, 408, 617.

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}.