Given numbers are 272,306,514,182

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

The LCM of 272,306,514,182 is 57251376.

Find LCM of 272,306,514,182 with Prime Factorization

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

2 x 17 x 8 x 9 x 257 x 91 = 57251376

Therefore, the lowest common multiple of 272,306,514,182 is 57251376.

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.

272 x 306 x 514 x 182 = 7786187136

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.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

514 : 1, 2, 257, 514

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,306,514,182, is 2.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

306:2x 3x 3x 17

514:2x 257

182:2x 7x 13

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 17 = 68

Therefore, the value for common factors is 68.

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 = 7786187136/(2x68)

LCM = 7786187136/136

LCM = 57251376

Thus, we can understand that the LCM of 272,306,514,182 is 57251376.

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

• LCM of 454, 818, 208, 926
• LCM of 926, 131, 607, 449
• LCM of 494, 315, 377, 115
• LCM of 657, 342, 415, 415
• LCM of 344, 997, 300, 626

1. What is the LCM of 272, 306, 514, 182?

Answer: LCM of 272, 306, 514, 182 is 57251376.

2. How to calculate the LCM of 272, 306, 514, 182?

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 272, 306, 514, 182.

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}.