Given numbers are 381,182,271,526,542

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

The LCM of 381,182,271,526,542 is 4942212366.

Find LCM of 381,182,271,526,542 with Prime Factorization

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

2 x 271 x 381 x 91 x 1 x 263 x 1 = 4942212366

Therefore, the lowest common multiple of 381,182,271,526,542 is 4942212366.

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 182 x 271 x 526 x 542 = 5357358204744

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

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

271 : 1, 271

526 : 1, 2, 263, 526

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,182,271,526,542, is 1.

Now, the common factors can be found like this.

381:3x 127

182:2x 7x 13

271:271

526:2x 263

542:2x 271

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 271 = 1084

Therefore, the value for common factors is 1084.

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 = 5357358204744/(1x1084)

LCM = 5357358204744/1084

LCM = 4942212366

Thus, we can understand that the LCM of 381,182,271,526,542 is 4942212366.

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

• LCM of 249, 625, 854, 665, 803
• LCM of 807, 232, 510, 412, 678
• LCM of 609, 890, 146, 739, 581
• LCM of 264, 431, 877, 247, 498
• LCM of 727, 698, 599, 910, 137

1. What is the LCM of 381, 182, 271, 526, 542?

Answer: LCM of 381, 182, 271, 526, 542 is 4942212366.

2. How to calculate the LCM of 381, 182, 271, 526, 542?

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, 182, 271, 526, 542.

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}.