Given numbers are 312,457,156,351,691

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

The LCM of 312,457,156,351,691 is 886729896.

Find LCM of 312,457,156,351,691 with Prime Factorization

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

2 x 2 x 3 x 13 x 1 x 457 x 2 x 9 x 691 = 886729896

Therefore, the lowest common multiple of 312,457,156,351,691 is 886729896.

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.

312 x 457 x 156 x 351 x 691 = 5394864687264

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

457 : 1, 457

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

691 : 1, 691

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,457,156,351,691, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

457:457

156:2x 2x 3x 13

351:3x 3x 3x 13

691:691

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 3x 13x 13 = 6084

Therefore, the value for common factors is 6084.

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 = 5394864687264/(1x6084)

LCM = 5394864687264/6084

LCM = 886729896

Thus, we can understand that the LCM of 312,457,156,351,691 is 886729896.

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

• LCM of 833, 289, 572, 610, 156
• LCM of 467, 974, 948, 180, 412
• LCM of 939, 607, 868, 287, 489
• LCM of 931, 191, 554, 345, 642
• LCM of 729, 203, 783, 518, 628

1. What is the LCM of 312, 457, 156, 351, 691?

Answer: LCM of 312, 457, 156, 351, 691 is 886729896.

2. How to calculate the LCM of 312, 457, 156, 351, 691?

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 312, 457, 156, 351, 691.

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}.