Given numbers are 461,579,820,214,671

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

The LCM of 461,579,820,214,671 is 15714466423260.

Find LCM of 461,579,820,214,671 with Prime Factorization

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

2 x 461 x 579 x 410 x 107 x 671 = 15714466423260

Therefore, the lowest common multiple of 461,579,820,214,671 is 15714466423260.

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.

461 x 579 x 820 x 214 x 671 = 31428932846520

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.

461 : 1, 461

579 : 1, 3, 193, 579

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

214 : 1, 2, 107, 214

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,579,820,214,671, is 1.

Now, the common factors can be found like this.

461:461

579:3x 193

820:2x 2x 5x 41

214:2x 107

671:11x 61

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

2 = 2

Therefore, the value for common factors is 2.

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 = 31428932846520/(1x2)

LCM = 31428932846520/2

LCM = 15714466423260

Thus, we can understand that the LCM of 461,579,820,214,671 is 15714466423260.

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

• LCM of 171, 816, 673, 108, 126
• LCM of 516, 417, 339, 725, 405
• LCM of 835, 235, 554, 828, 800
• LCM of 942, 754, 786, 114, 794
• LCM of 410, 364, 444, 847, 657

1. What is the LCM of 461, 579, 820, 214, 671?

Answer: LCM of 461, 579, 820, 214, 671 is 15714466423260.

2. How to calculate the LCM of 461, 579, 820, 214, 671?

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 461, 579, 820, 214, 671.

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}.