Given numbers are 814,734,657,382

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

The LCM of 814,734,657,382 is 37487735406.

Find LCM of 814,734,657,382 with Prime Factorization

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

2 x 407 x 367 x 657 x 191 = 37487735406

Therefore, the lowest common multiple of 814,734,657,382 is 37487735406.

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 734 x 657 x 382 = 149950941624

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

734 : 1, 2, 367, 734

657 : 1, 3, 9, 73, 219, 657

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,734,657,382, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

734:2x 367

657:3x 3x 73

382:2x 191

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 = 149950941624/(1x4)

LCM = 149950941624/4

LCM = 37487735406

Thus, we can understand that the LCM of 814,734,657,382 is 37487735406.

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

• LCM of 680, 248, 658, 358
• LCM of 679, 953, 600, 858
• LCM of 397, 509, 142, 641
• LCM of 159, 387, 573, 925
• LCM of 841, 216, 674, 610

1. What is the LCM of 814, 734, 657, 382?

Answer: LCM of 814, 734, 657, 382 is 37487735406.

2. How to calculate the LCM of 814, 734, 657, 382?

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, 734, 657, 382.

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}.