Given numbers are 814,264,558,745,618

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

The LCM of 814,264,558,745,618 is 69707915640.

Find LCM of 814,264,558,745,618 with Prime Factorization

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

2 x 3 x 11 x 37 x 4 x 93 x 745 x 103 = 69707915640

Therefore, the lowest common multiple of 814,264,558,745,618 is 69707915640.

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 264 x 558 x 745 x 618 = 55208669186880

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

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

745 : 1, 5, 149, 745

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,264,558,745,618, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

264:2x 2x 2x 3x 11

558:2x 3x 3x 31

745:5x 149

618:2x 3x 103

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 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 55208669186880/(1x792)

LCM = 55208669186880/792

LCM = 69707915640

Thus, we can understand that the LCM of 814,264,558,745,618 is 69707915640.

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

• LCM of 414, 926, 196, 107, 205
• LCM of 718, 680, 990, 868, 605
• LCM of 408, 742, 870, 970, 834
• LCM of 574, 538, 413, 552, 532
• LCM of 654, 610, 122, 769, 300

1. What is the LCM of 814, 264, 558, 745, 618?

Answer: LCM of 814, 264, 558, 745, 618 is 69707915640.

2. How to calculate the LCM of 814, 264, 558, 745, 618?

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, 264, 558, 745, 618.

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}.