Given numbers are 271,156,813,14

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

The LCM of 271,156,813,14 is 295932.

Find LCM of 271,156,813,14 with Prime Factorization

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

2 x 3 x 271 x 1 x 26 x 1 x 7 = 295932

Therefore, the lowest common multiple of 271,156,813,14 is 295932.

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 156 x 813 x 14 = 481185432

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

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

813 : 1, 3, 271, 813

14 : 1, 2, 7, 14

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,156,813,14, is 1.

Now, the common factors can be found like this.

271:271

156:2x 2x 3x 13

813:3x 271

14:2x 7

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 271 = 1626

Therefore, the value for common factors is 1626.

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 = 481185432/(1x1626)

LCM = 481185432/1626

LCM = 295932

Thus, we can understand that the LCM of 271,156,813,14 is 295932.

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

• LCM of 708, 362, 498, 75
• LCM of 191, 782, 359, 76
• LCM of 857, 660, 962, 32
• LCM of 168, 481, 750, 86
• LCM of 123, 353, 670, 77

1. What is the LCM of 271, 156, 813, 14?

Answer: LCM of 271, 156, 813, 14 is 295932.

2. How to calculate the LCM of 271, 156, 813, 14?

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, 156, 813, 14.

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}.