Given numbers are 228,481,638,506,422

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

The LCM of 228,481,638,506,422 is 169777798476.

Find LCM of 228,481,638,506,422 with Prime Factorization

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

2 x 11 x 114 x 481 x 29 x 23 x 211 = 169777798476

Therefore, the lowest common multiple of 228,481,638,506,422 is 169777798476.

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 481 x 638 x 506 x 422 = 14940446265888

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

481 : 1, 13, 37, 481

638 : 1, 2, 11, 22, 29, 58, 319, 638

506 : 1, 2, 11, 22, 23, 46, 253, 506

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,481,638,506,422, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

481:13x 37

638:2x 11x 29

506:2x 11x 23

422:2x 211

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 11 = 88

Therefore, the value for common factors is 88.

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 = 14940446265888/(1x88)

LCM = 14940446265888/88

LCM = 169777798476

Thus, we can understand that the LCM of 228,481,638,506,422 is 169777798476.

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

• LCM of 529, 778, 647, 381, 922
• LCM of 302, 738, 168, 479, 604
• LCM of 508, 990, 456, 357, 195
• LCM of 880, 331, 560, 600, 349
• LCM of 122, 166, 932, 581, 477

1. What is the LCM of 228, 481, 638, 506, 422?

Answer: LCM of 228, 481, 638, 506, 422 is 169777798476.

2. How to calculate the LCM of 228, 481, 638, 506, 422?

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, 481, 638, 506, 422.

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}.