Given numbers are 218,642,572,945,798

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

The LCM of 218,642,572,945,798 is 119782042380.

Find LCM of 218,642,572,945,798 with Prime Factorization

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

2 x 3 x 7 x 109 x 107 x 286 x 45 x 19 = 119782042380

Therefore, the lowest common multiple of 218,642,572,945,798 is 119782042380.

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.

218 x 642 x 572 x 945 x 798 = 60370149359520

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.

218 : 1, 2, 109, 218

642 : 1, 2, 3, 6, 107, 214, 321, 642

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,642,572,945,798, is 1.

Now, the common factors can be found like this.

218:2x 109

642:2x 3x 107

572:2x 2x 11x 13

945:3x 3x 3x 5x 7

798:2x 3x 7x 19

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 7 = 504

Therefore, the value for common factors is 504.

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 = 60370149359520/(1x504)

LCM = 60370149359520/504

LCM = 119782042380

Thus, we can understand that the LCM of 218,642,572,945,798 is 119782042380.

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

• LCM of 151, 776, 631, 635, 186
• LCM of 111, 855, 320, 150, 189
• LCM of 840, 213, 176, 398, 843
• LCM of 954, 991, 818, 187, 111
• LCM of 600, 122, 656, 449, 529

1. What is the LCM of 218, 642, 572, 945, 798?

Answer: LCM of 218, 642, 572, 945, 798 is 119782042380.

2. How to calculate the LCM of 218, 642, 572, 945, 798?

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 218, 642, 572, 945, 798.

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}.