Given numbers are 271,380,257,103,813

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

The LCM of 271,380,257,103,813 is 8177950740.

Find LCM of 271,380,257,103,813 with Prime Factorization

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

271 x 1 x 380 x 257 x 103 x 3 = 8177950740

Therefore, the lowest common multiple of 271,380,257,103,813 is 8177950740.

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.

271 x 380 x 257 x 103 x 813 = 2216224650540

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.

271 : 1, 271

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

257 : 1, 257

103 : 1, 103

813 : 1, 3, 271, 813

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,380,257,103,813, is 1.

Now, the common factors can be found like this.

271:271

380:2x 2x 5x 19

257:257

103:103

813:3x 271

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

271 = 271

Therefore, the value for common factors is 271.

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 = 2216224650540/(1x271)

LCM = 2216224650540/271

LCM = 8177950740

Thus, we can understand that the LCM of 271,380,257,103,813 is 8177950740.

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

• LCM of 931, 561, 606, 713, 854
• LCM of 798, 147, 181, 290, 461
• LCM of 590, 498, 144, 295, 972
• LCM of 972, 460, 678, 834, 187
• LCM of 646, 697, 544, 331, 855

1. What is the LCM of 271, 380, 257, 103, 813?

Answer: LCM of 271, 380, 257, 103, 813 is 8177950740.

2. How to calculate the LCM of 271, 380, 257, 103, 813?

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 271, 380, 257, 103, 813.

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}.