Given numbers are 754,864,364,397

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

The LCM of 754,864,364,397 is 905198112.

Find LCM of 754,864,364,397 with Prime Factorization

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

2 x 2 x 13 x 29 x 216 x 7 x 397 = 905198112

Therefore, the lowest common multiple of 754,864,364,397 is 905198112.

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.

754 x 864 x 364 x 397 = 94140603648

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,864,364,397, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

864:2x 2x 2x 2x 2x 3x 3x 3

364:2x 2x 7x 13

397:397

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 13 = 104

Therefore, the value for common factors is 104.

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 = 94140603648/(1x104)

LCM = 94140603648/104

LCM = 905198112

Thus, we can understand that the LCM of 754,864,364,397 is 905198112.

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

• LCM of 522, 565, 741, 128
• LCM of 738, 623, 986, 657
• LCM of 718, 850, 864, 504
• LCM of 900, 298, 825, 689
• LCM of 446, 969, 405, 612

1. What is the LCM of 754, 864, 364, 397?

Answer: LCM of 754, 864, 364, 397 is 905198112.

2. How to calculate the LCM of 754, 864, 364, 397?

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 754, 864, 364, 397.

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}.