Given numbers are 870,408,873,378,331

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

The LCM of 870,408,873,378,331 is 119665357560.

Find LCM of 870,408,873,378,331 with Prime Factorization

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

2 x 3 x 3 x 145 x 68 x 97 x 21 x 331 = 119665357560

Therefore, the lowest common multiple of 870,408,873,378,331 is 119665357560.

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.

870 x 408 x 873 x 378 x 331 = 38771575849440

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

873 : 1, 3, 9, 97, 291, 873

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,408,873,378,331, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

408:2x 2x 2x 3x 17

873:3x 3x 97

378:2x 3x 3x 3x 7

331:331

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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 38771575849440/(1x324)

LCM = 38771575849440/324

LCM = 119665357560

Thus, we can understand that the LCM of 870,408,873,378,331 is 119665357560.

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

• LCM of 461, 615, 843, 158, 403
• LCM of 934, 605, 492, 272, 257
• LCM of 826, 658, 372, 445, 843
• LCM of 823, 634, 255, 665, 797
• LCM of 267, 242, 512, 425, 460

1. What is the LCM of 870, 408, 873, 378, 331?

Answer: LCM of 870, 408, 873, 378, 331 is 119665357560.

2. How to calculate the LCM of 870, 408, 873, 378, 331?

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 870, 408, 873, 378, 331.

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}.