Given numbers are 754,742,343,920,903

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

The LCM of 754,742,343,920,903 is 813371362440.

Find LCM of 754,742,343,920,903 with Prime Factorization

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

2 x 7 x 377 x 53 x 49 x 460 x 129 = 813371362440

Therefore, the lowest common multiple of 754,742,343,920,903 is 813371362440.

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 742 x 343 x 920 x 903 = 159420787038240

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

343 : 1, 7, 49, 343

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

903 : 1, 3, 7, 21, 43, 129, 301, 903

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,742,343,920,903, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

742:2x 7x 53

343:7x 7x 7

920:2x 2x 2x 5x 23

903:3x 7x 43

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 7x 7 = 196

Therefore, the value for common factors is 196.

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 = 159420787038240/(1x196)

LCM = 159420787038240/196

LCM = 813371362440

Thus, we can understand that the LCM of 754,742,343,920,903 is 813371362440.

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

• LCM of 999, 384, 563, 561, 881
• LCM of 103, 601, 646, 332, 114
• LCM of 113, 182, 713, 930, 594
• LCM of 500, 320, 319, 217, 338
• LCM of 627, 109, 240, 328, 372

1. What is the LCM of 754, 742, 343, 920, 903?

Answer: LCM of 754, 742, 343, 920, 903 is 813371362440.

2. How to calculate the LCM of 754, 742, 343, 920, 903?

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, 742, 343, 920, 903.

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}.