Given numbers are 445,480,182,586,517

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

The LCM of 445,480,182,586,517 is 588885417120.

Find LCM of 445,480,182,586,517 with Prime Factorization

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

2 x 5 x 89 x 48 x 91 x 293 x 517 = 588885417120

Therefore, the lowest common multiple of 445,480,182,586,517 is 588885417120.

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.

445 x 480 x 182 x 586 x 517 = 11777708342400

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.

445 : 1, 5, 89, 445

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

182 : 1, 2, 7, 13, 14, 26, 91, 182

586 : 1, 2, 293, 586

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,480,182,586,517, is 1.

Now, the common factors can be found like this.

445:5x 89

480:2x 2x 2x 2x 2x 3x 5

182:2x 7x 13

586:2x 293

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 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 11777708342400/(1x20)

LCM = 11777708342400/20

LCM = 588885417120

Thus, we can understand that the LCM of 445,480,182,586,517 is 588885417120.

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

• LCM of 166, 986, 507, 953, 846
• LCM of 745, 585, 290, 667, 990
• LCM of 653, 139, 641, 401, 733
• LCM of 399, 615, 699, 226, 562
• LCM of 162, 877, 429, 701, 825

1. What is the LCM of 445, 480, 182, 586, 517?

Answer: LCM of 445, 480, 182, 586, 517 is 588885417120.

2. How to calculate the LCM of 445, 480, 182, 586, 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 445, 480, 182, 586, 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}.