Given numbers are 418,331,816,874,912

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

The LCM of 418,331,816,874,912 is 1298351472.

Find LCM of 418,331,816,874,912 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 19 x 11 x 331 x 17 x 23 x 1 = 1298351472

Therefore, the lowest common multiple of 418,331,816,874,912 is 1298351472.

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.

418 x 331 x 816 x 874 x 912 = 89991337227264

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

331 : 1, 331

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

874 : 1, 2, 19, 23, 38, 46, 437, 874

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,331,816,874,912, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

331:331

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

874:2x 19x 23

912:2x 2x 2x 2x 3x 19

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 2x 3x 19x 19 = 69312

Therefore, the value for common factors is 69312.

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 = 89991337227264/(1x69312)

LCM = 89991337227264/69312

LCM = 1298351472

Thus, we can understand that the LCM of 418,331,816,874,912 is 1298351472.

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

• LCM of 124, 936, 204, 937, 773
• LCM of 935, 483, 524, 871, 380
• LCM of 793, 583, 553, 825, 547
• LCM of 974, 239, 204, 723, 831
• LCM of 113, 943, 177, 963, 447

1. What is the LCM of 418, 331, 816, 874, 912?

Answer: LCM of 418, 331, 816, 874, 912 is 1298351472.

2. How to calculate the LCM of 418, 331, 816, 874, 912?

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 418, 331, 816, 874, 912.

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}.