Given numbers are 488,313,209,463,870

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

The LCM of 488,313,209,463,870 is 6429551711880.

Find LCM of 488,313,209,463,870 with Prime Factorization

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

2 x 244 x 313 x 209 x 463 x 435 = 6429551711880

Therefore, the lowest common multiple of 488,313,209,463,870 is 6429551711880.

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.

488 x 313 x 209 x 463 x 870 = 12859103423760

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

313 : 1, 313

209 : 1, 11, 19, 209

463 : 1, 463

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,313,209,463,870, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

313:313

209:11x 19

463:463

870:2x 3x 5x 29

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 = 12859103423760/(1x2)

LCM = 12859103423760/2

LCM = 6429551711880

Thus, we can understand that the LCM of 488,313,209,463,870 is 6429551711880.

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

• LCM of 533, 381, 304, 874, 861
• LCM of 160, 322, 512, 909, 161
• LCM of 608, 499, 207, 985, 948
• LCM of 811, 500, 626, 559, 733
• LCM of 537, 111, 386, 368, 381

1. What is the LCM of 488, 313, 209, 463, 870?

Answer: LCM of 488, 313, 209, 463, 870 is 6429551711880.

2. How to calculate the LCM of 488, 313, 209, 463, 870?

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 488, 313, 209, 463, 870.

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}.