Given numbers are 228,794,403,754,920

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

The LCM of 228,794,403,754,920 is 243307913160.

Find LCM of 228,794,403,754,920 with Prime Factorization

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

2 x 2 x 13 x 57 x 397 x 31 x 29 x 230 = 243307913160

Therefore, the lowest common multiple of 228,794,403,754,920 is 243307913160.

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.

228 x 794 x 403 x 754 x 920 = 50608045937280

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.

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

794 : 1, 2, 397, 794

403 : 1, 13, 31, 403

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,794,403,754,920, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

794:2x 397

403:13x 31

754:2x 13x 29

920:2x 2x 2x 5x 23

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 13 = 208

Therefore, the value for common factors is 208.

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 = 50608045937280/(1x208)

LCM = 50608045937280/208

LCM = 243307913160

Thus, we can understand that the LCM of 228,794,403,754,920 is 243307913160.

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

• LCM of 825, 941, 821, 779, 892
• LCM of 573, 493, 125, 288, 630
• LCM of 824, 862, 625, 380, 581
• LCM of 187, 581, 992, 302, 605
• LCM of 252, 631, 345, 366, 831

1. What is the LCM of 228, 794, 403, 754, 920?

Answer: LCM of 228, 794, 403, 754, 920 is 243307913160.

2. How to calculate the LCM of 228, 794, 403, 754, 920?

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 228, 794, 403, 754, 920.

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}.