Given numbers are 814,348,977,334

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

The LCM of 814,348,977,334 is 23109188124.

Find LCM of 814,348,977,334 with Prime Factorization

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

2 x 407 x 174 x 977 x 167 = 23109188124

Therefore, the lowest common multiple of 814,348,977,334 is 23109188124.

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 348 x 977 x 334 = 92436752496

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

977 : 1, 977

334 : 1, 2, 167, 334

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,348,977,334, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

348:2x 2x 3x 29

977:977

334:2x 167

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 = 92436752496/(1x4)

LCM = 92436752496/4

LCM = 23109188124

Thus, we can understand that the LCM of 814,348,977,334 is 23109188124.

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

• LCM of 495, 367, 871, 317
• LCM of 635, 777, 819, 823
• LCM of 323, 482, 331, 369
• LCM of 138, 683, 351, 654
• LCM of 755, 574, 810, 787

1. What is the LCM of 814, 348, 977, 334?

Answer: LCM of 814, 348, 977, 334 is 23109188124.

2. How to calculate the LCM of 814, 348, 977, 334?

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, 348, 977, 334.

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}.