Given numbers are 814,507,737,115

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

The LCM of 814,507,737,115 is 3179838090.

Find LCM of 814,507,737,115 with Prime Factorization

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

11 x 74 x 507 x 67 x 115 = 3179838090

Therefore, the lowest common multiple of 814,507,737,115 is 3179838090.

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.

814 x 507 x 737 x 115 = 34978218990

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

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

737 : 1, 11, 67, 737

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,507,737,115, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

507:3x 13x 13

737:11x 67

115:5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11 = 11

Therefore, the value for common factors is 11.

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 = 34978218990/(1x11)

LCM = 34978218990/11

LCM = 3179838090

Thus, we can understand that the LCM of 814,507,737,115 is 3179838090.

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

• LCM of 559, 903, 465, 356
• LCM of 104, 877, 962, 778
• LCM of 342, 939, 304, 410
• LCM of 908, 774, 623, 873
• LCM of 178, 467, 367, 588

1. What is the LCM of 814, 507, 737, 115?

Answer: LCM of 814, 507, 737, 115 is 3179838090.

2. How to calculate the LCM of 814, 507, 737, 115?

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 814, 507, 737, 115.

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}.