Given numbers are 507,858,988,405,696

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

The LCM of 507,858,988,405,696 is 3318761160.

Find LCM of 507,858,988,405,696 with Prime Factorization

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

2 x 2 x 3 x 13 x 13 x 11 x 19 x 135 x 58 = 3318761160

Therefore, the lowest common multiple of 507,858,988,405,696 is 3318761160.

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.

507 x 858 x 988 x 405 x 696 = 121148057384640

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.

507 : 1, 3, 13, 39, 169, 507

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,858,988,405,696, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

858:2x 3x 11x 13

988:2x 2x 13x 19

405:3x 3x 3x 3x 5

696:2x 2x 2x 3x 29

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 3x 3x 3x 13x 13 = 36504

Therefore, the value for common factors is 36504.

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 = 121148057384640/(1x36504)

LCM = 121148057384640/36504

LCM = 3318761160

Thus, we can understand that the LCM of 507,858,988,405,696 is 3318761160.

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

• LCM of 530, 158, 705, 762, 886
• LCM of 680, 922, 526, 826, 942
• LCM of 965, 550, 897, 777, 462
• LCM of 499, 772, 437, 193, 507
• LCM of 213, 871, 668, 830, 854

1. What is the LCM of 507, 858, 988, 405, 696?

Answer: LCM of 507, 858, 988, 405, 696 is 3318761160.

2. How to calculate the LCM of 507, 858, 988, 405, 696?

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 507, 858, 988, 405, 696.

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}.