Given numbers are 318,596,586,514,138

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

The LCM of 318,596,586,514,138 is 164123951172.

Find LCM of 318,596,586,514,138 with Prime Factorization

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

2 x 3 x 53 x 298 x 293 x 257 x 23 = 164123951172

Therefore, the lowest common multiple of 318,596,586,514,138 is 164123951172.

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.

318 x 596 x 586 x 514 x 138 = 7877949656256

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

596 : 1, 2, 4, 149, 298, 596

586 : 1, 2, 293, 586

514 : 1, 2, 257, 514

138 : 1, 2, 3, 6, 23, 46, 69, 138

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,596,586,514,138, is 2.

Now, the common factors can be found like this.

318:2x 3x 53

596:2x 2x 149

586:2x 293

514:2x 257

138:2x 3x 23

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 7877949656256/(2x24)

LCM = 7877949656256/48

LCM = 164123951172

Thus, we can understand that the LCM of 318,596,586,514,138 is 164123951172.

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

• LCM of 423, 268, 622, 258, 602
• LCM of 605, 753, 297, 998, 967
• LCM of 416, 118, 948, 300, 197
• LCM of 293, 232, 269, 613, 385
• LCM of 470, 307, 645, 882, 269

1. What is the LCM of 318, 596, 586, 514, 138?

Answer: LCM of 318, 596, 586, 514, 138 is 164123951172.

2. How to calculate the LCM of 318, 596, 586, 514, 138?

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 318, 596, 586, 514, 138.

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}.