Given numbers are 488,578,910,816,455

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

The LCM of 488,578,910,816,455 is 385017360.

Find LCM of 488,578,910,816,455 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 13 x 17 x 61 x 17 x 1 x 6 x 1 = 385017360

Therefore, the lowest common multiple of 488,578,910,816,455 is 385017360.

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 578 x 910 x 816 x 455 = 95299496947200

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

578 : 1, 2, 17, 34, 289, 578

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

455 : 1, 5, 7, 13, 35, 65, 91, 455

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,578,910,816,455, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

578:2x 17x 17

910:2x 5x 7x 13

816:2x 2x 2x 2x 3x 17

455:5x 7x 13

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 2x 2x 5x 7x 13x 17 = 247520

Therefore, the value for common factors is 247520.

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 = 95299496947200/(1x247520)

LCM = 95299496947200/247520

LCM = 385017360

Thus, we can understand that the LCM of 488,578,910,816,455 is 385017360.

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

• LCM of 410, 407, 245, 675, 362
• LCM of 675, 325, 899, 944, 661
• LCM of 663, 410, 506, 253, 871
• LCM of 884, 432, 178, 741, 153
• LCM of 672, 716, 903, 274, 781

1. What is the LCM of 488, 578, 910, 816, 455?

Answer: LCM of 488, 578, 910, 816, 455 is 385017360.

2. How to calculate the LCM of 488, 578, 910, 816, 455?

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, 578, 910, 816, 455.

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}.