Given numbers are 617,916,460,517

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

The LCM of 617,916,460,517 is 33602301260.

Find LCM of 617,916,460,517 with Prime Factorization

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

2 x 2 x 617 x 229 x 115 x 517 = 33602301260

Therefore, the lowest common multiple of 617,916,460,517 is 33602301260.

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.

617 x 916 x 460 x 517 = 134409205040

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.

617 : 1, 617

916 : 1, 2, 4, 229, 458, 916

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,916,460,517, is 1.

Now, the common factors can be found like this.

617:617

916:2x 2x 229

460:2x 2x 5x 23

517:11x 47

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 134409205040/(1x4)

LCM = 134409205040/4

LCM = 33602301260

Thus, we can understand that the LCM of 617,916,460,517 is 33602301260.

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

• LCM of 470, 515, 152, 957
• LCM of 449, 955, 287, 922
• LCM of 619, 885, 589, 957
• LCM of 547, 142, 374, 991
• LCM of 517, 914, 335, 358

1. What is the LCM of 617, 916, 460, 517?

Answer: LCM of 617, 916, 460, 517 is 33602301260.

2. How to calculate the LCM of 617, 916, 460, 517?

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 617, 916, 460, 517.

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}.