Given numbers are 517,356,426,614

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

The LCM of 517,356,426,614 is 12035344332.

Find LCM of 517,356,426,614 with Prime Factorization

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

2 x 517 x 178 x 213 x 307 = 12035344332

Therefore, the lowest common multiple of 517,356,426,614 is 12035344332.

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.

517 x 356 x 426 x 614 = 48141377328

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.

517 : 1, 11, 47, 517

356 : 1, 2, 4, 89, 178, 356

426 : 1, 2, 3, 6, 71, 142, 213, 426

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,356,426,614, is 1.

Now, the common factors can be found like this.

517:11x 47

356:2x 2x 89

426:2x 3x 71

614:2x 307

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 = 48141377328/(1x4)

LCM = 48141377328/4

LCM = 12035344332

Thus, we can understand that the LCM of 517,356,426,614 is 12035344332.

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

• LCM of 211, 379, 498, 187
• LCM of 876, 781, 603, 827
• LCM of 593, 462, 227, 996
• LCM of 770, 382, 936, 920
• LCM of 363, 560, 525, 846

1. What is the LCM of 517, 356, 426, 614?

Answer: LCM of 517, 356, 426, 614 is 12035344332.

2. How to calculate the LCM of 517, 356, 426, 614?

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 517, 356, 426, 614.

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}.