Given numbers are 920,717,368,460

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

The LCM of 920,717,368,460 is 1319280.

Find LCM of 920,717,368,460 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 1 x 717 x 2 x 1 = 1319280

Therefore, the lowest common multiple of 920,717,368,460 is 1319280.

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.

920 x 717 x 368 x 460 = 111663859200

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

717 : 1, 3, 239, 717

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,717,368,460, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

717:3x 239

368:2x 2x 2x 2x 23

460:2x 2x 5x 23

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 2x 5x 23x 23 = 84640

Therefore, the value for common factors is 84640.

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 = 111663859200/(1x84640)

LCM = 111663859200/84640

LCM = 1319280

Thus, we can understand that the LCM of 920,717,368,460 is 1319280.

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

• LCM of 687, 200, 627, 842
• LCM of 800, 528, 194, 571
• LCM of 860, 390, 113, 526
• LCM of 797, 469, 175, 308
• LCM of 783, 565, 329, 214

1. What is the LCM of 920, 717, 368, 460?

Answer: LCM of 920, 717, 368, 460 is 1319280.

2. How to calculate the LCM of 920, 717, 368, 460?

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 920, 717, 368, 460.

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}.