Given numbers are 914,318,725,508

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

The LCM of 914,318,725,508 is 26761782900.

Find LCM of 914,318,725,508 with Prime Factorization

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

2 x 457 x 159 x 725 x 254 = 26761782900

Therefore, the lowest common multiple of 914,318,725,508 is 26761782900.

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.

914 x 318 x 725 x 508 = 107047131600

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.

914 : 1, 2, 457, 914

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

725 : 1, 5, 25, 29, 145, 725

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,318,725,508, is 1.

Now, the common factors can be found like this.

914:2x 457

318:2x 3x 53

725:5x 5x 29

508:2x 2x 127

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 107047131600/(1x4)

LCM = 107047131600/4

LCM = 26761782900

Thus, we can understand that the LCM of 914,318,725,508 is 26761782900.

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

• LCM of 152, 701, 414, 705
• LCM of 612, 202, 394, 747
• LCM of 593, 686, 593, 790
• LCM of 996, 332, 462, 205
• LCM of 790, 349, 969, 586

1. What is the LCM of 914, 318, 725, 508?

Answer: LCM of 914, 318, 725, 508 is 26761782900.

2. How to calculate the LCM of 914, 318, 725, 508?

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 914, 318, 725, 508.

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}.