Given numbers are 730,814,556,517,218

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

The LCM of 730,814,556,517,218 is 423142279340.

Find LCM of 730,814,556,517,218 with Prime Factorization

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

2 x 11 x 365 x 37 x 278 x 47 x 109 = 423142279340

Therefore, the lowest common multiple of 730,814,556,517,218 is 423142279340.

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.

730 x 814 x 556 x 517 x 218 = 37236520581920

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

814 : 1, 2, 11, 22, 37, 74, 407, 814

556 : 1, 2, 4, 139, 278, 556

517 : 1, 11, 47, 517

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,814,556,517,218, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

814:2x 11x 37

556:2x 2x 139

517:11x 47

218:2x 109

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

2x 2x 2x 11 = 88

Therefore, the value for common factors is 88.

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 = 37236520581920/(1x88)

LCM = 37236520581920/88

LCM = 423142279340

Thus, we can understand that the LCM of 730,814,556,517,218 is 423142279340.

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

• LCM of 353, 569, 264, 678, 224
• LCM of 359, 685, 905, 263, 403
• LCM of 317, 196, 841, 473, 630
• LCM of 272, 577, 996, 754, 377
• LCM of 495, 512, 646, 477, 299

1. What is the LCM of 730, 814, 556, 517, 218?

Answer: LCM of 730, 814, 556, 517, 218 is 423142279340.

2. How to calculate the LCM of 730, 814, 556, 517, 218?

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 730, 814, 556, 517, 218.

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}.