Given numbers are 381,102,180,475,327

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

The LCM of 381,102,180,475,327 is 4024160100.

Find LCM of 381,102,180,475,327 with Prime Factorization

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

2 x 3 x 5 x 127 x 17 x 6 x 95 x 109 = 4024160100

Therefore, the lowest common multiple of 381,102,180,475,327 is 4024160100.

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 102 x 180 x 475 x 327 = 1086523227000

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

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

475 : 1, 5, 19, 25, 95, 475

327 : 1, 3, 109, 327

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,102,180,475,327, is 1.

Now, the common factors can be found like this.

381:3x 127

102:2x 3x 17

180:2x 2x 3x 3x 5

475:5x 5x 19

327:3x 109

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 3x 3x 5 = 270

Therefore, the value for common factors is 270.

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 = 1086523227000/(1x270)

LCM = 1086523227000/270

LCM = 4024160100

Thus, we can understand that the LCM of 381,102,180,475,327 is 4024160100.

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

• LCM of 910, 384, 723, 381, 149
• LCM of 292, 640, 229, 680, 419
• LCM of 489, 532, 635, 826, 100
• LCM of 519, 718, 282, 467, 483
• LCM of 763, 712, 652, 895, 928

1. What is the LCM of 381, 102, 180, 475, 327?

Answer: LCM of 381, 102, 180, 475, 327 is 4024160100.

2. How to calculate the LCM of 381, 102, 180, 475, 327?

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, 102, 180, 475, 327.

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}.