Given numbers are 914,734,457,311,145

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

The LCM of 914,734,457,311,145 is 15126576610.

Find LCM of 914,734,457,311,145 with Prime Factorization

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

2 x 457 x 1 x 367 x 1 x 311 x 145 = 15126576610

Therefore, the lowest common multiple of 914,734,457,311,145 is 15126576610.

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 734 x 457 x 311 x 145 = 13825691021540

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

734 : 1, 2, 367, 734

457 : 1, 457

311 : 1, 311

145 : 1, 5, 29, 145

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,734,457,311,145, is 1.

Now, the common factors can be found like this.

914:2x 457

734:2x 367

457:457

311:311

145:5x 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 457 = 914

Therefore, the value for common factors is 914.

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 = 13825691021540/(1x914)

LCM = 13825691021540/914

LCM = 15126576610

Thus, we can understand that the LCM of 914,734,457,311,145 is 15126576610.

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

• LCM of 400, 941, 463, 272, 104
• LCM of 239, 818, 698, 855, 840
• LCM of 665, 844, 363, 398, 959
• LCM of 368, 807, 852, 834, 146
• LCM of 146, 813, 581, 987, 567

1. What is the LCM of 914, 734, 457, 311, 145?

Answer: LCM of 914, 734, 457, 311, 145 is 15126576610.

2. How to calculate the LCM of 914, 734, 457, 311, 145?

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, 734, 457, 311, 145.

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}.