Given numbers are 228,687,177,182

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

The LCM of 228,687,177,182 is 280326228.

Find LCM of 228,687,177,182 with Prime Factorization

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

2 x 3 x 38 x 229 x 59 x 91 = 280326228

Therefore, the lowest common multiple of 228,687,177,182 is 280326228.

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 687 x 177 x 182 = 5045872104

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

687 : 1, 3, 229, 687

177 : 1, 3, 59, 177

182 : 1, 2, 7, 13, 14, 26, 91, 182

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,687,177,182, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

687:3x 229

177:3x 59

182:2x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 5045872104/(1x18)

LCM = 5045872104/18

LCM = 280326228

Thus, we can understand that the LCM of 228,687,177,182 is 280326228.

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

• LCM of 178, 869, 485, 674
• LCM of 755, 662, 358, 111
• LCM of 999, 541, 145, 216
• LCM of 736, 758, 437, 573
• LCM of 109, 366, 352, 668

1. What is the LCM of 228, 687, 177, 182?

Answer: LCM of 228, 687, 177, 182 is 280326228.

2. How to calculate the LCM of 228, 687, 177, 182?

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, 687, 177, 182.

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}.