Given numbers are 391,514,812,201,414

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

The LCM of 391,514,812,201,414 is 49202052732.

Find LCM of 391,514,812,201,414 with Prime Factorization

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

2 x 3 x 23 x 17 x 257 x 406 x 67 x 3 = 49202052732

Therefore, the lowest common multiple of 391,514,812,201,414 is 49202052732.

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.

391 x 514 x 812 x 201 x 414 = 13579766554032

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.

391 : 1, 17, 23, 391

514 : 1, 2, 257, 514

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

201 : 1, 3, 67, 201

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,514,812,201,414, is 1.

Now, the common factors can be found like this.

391:17x 23

514:2x 257

812:2x 2x 7x 29

201:3x 67

414:2x 3x 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 3x 23 = 276

Therefore, the value for common factors is 276.

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 = 13579766554032/(1x276)

LCM = 13579766554032/276

LCM = 49202052732

Thus, we can understand that the LCM of 391,514,812,201,414 is 49202052732.

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

• LCM of 724, 814, 169, 779, 565
• LCM of 396, 151, 114, 111, 429
• LCM of 767, 562, 550, 439, 971
• LCM of 366, 278, 533, 839, 813
• LCM of 504, 535, 512, 389, 282

1. What is the LCM of 391, 514, 812, 201, 414?

Answer: LCM of 391, 514, 812, 201, 414 is 49202052732.

2. How to calculate the LCM of 391, 514, 812, 201, 414?

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 391, 514, 812, 201, 414.

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}.