Given numbers are 411,642,638,798,480

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

The LCM of 411,642,638,798,480 is 298529948640.

Find LCM of 411,642,638,798,480 with Prime Factorization

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

2 x 3 x 137 x 107 x 319 x 133 x 80 = 298529948640

Therefore, the lowest common multiple of 411,642,638,798,480 is 298529948640.

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.

411 x 642 x 638 x 798 x 480 = 64482468906240

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.

411 : 1, 3, 137, 411

642 : 1, 2, 3, 6, 107, 214, 321, 642

638 : 1, 2, 11, 22, 29, 58, 319, 638

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,642,638,798,480, is 1.

Now, the common factors can be found like this.

411:3x 137

642:2x 3x 107

638:2x 11x 29

798:2x 3x 7x 19

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

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 64482468906240/(1x216)

LCM = 64482468906240/216

LCM = 298529948640

Thus, we can understand that the LCM of 411,642,638,798,480 is 298529948640.

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

• LCM of 546, 406, 129, 890, 756
• LCM of 396, 540, 956, 492, 263
• LCM of 639, 826, 837, 415, 674
• LCM of 855, 452, 809, 385, 267
• LCM of 200, 310, 488, 454, 959

1. What is the LCM of 411, 642, 638, 798, 480?

Answer: LCM of 411, 642, 638, 798, 480 is 298529948640.

2. How to calculate the LCM of 411, 642, 638, 798, 480?

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 411, 642, 638, 798, 480.

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}.