Given numbers are 381,180,122,586

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

The LCM of 381,180,122,586 is 408576780.

Find LCM of 381,180,122,586 with Prime Factorization

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

2 x 3 x 127 x 30 x 61 x 293 = 408576780

Therefore, the lowest common multiple of 381,180,122,586 is 408576780.

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.

381 x 180 x 122 x 586 = 4902921360

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.

381 : 1, 3, 127, 381

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

122 : 1, 2, 61, 122

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,180,122,586, is 1.

Now, the common factors can be found like this.

381:3x 127

180:2x 2x 3x 3x 5

122:2x 61

586:2x 293

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 3 = 12

Therefore, the value for common factors is 12.

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 = 4902921360/(1x12)

LCM = 4902921360/12

LCM = 408576780

Thus, we can understand that the LCM of 381,180,122,586 is 408576780.

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

• LCM of 648, 897, 802, 579
• LCM of 533, 673, 466, 853
• LCM of 438, 790, 194, 959
• LCM of 222, 323, 367, 484
• LCM of 816, 927, 615, 104

1. What is the LCM of 381, 180, 122, 586?

Answer: LCM of 381, 180, 122, 586 is 408576780.

2. How to calculate the LCM of 381, 180, 122, 586?

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 381, 180, 122, 586.

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}.