Given numbers are 518,456,642,845,851

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

The LCM of 518,456,642,845,851 is 245602582680.

Find LCM of 518,456,642,845,851 with Prime Factorization

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

2 x 3 x 37 x 7 x 76 x 107 x 845 x 23 = 245602582680

Therefore, the lowest common multiple of 518,456,642,845,851 is 245602582680.

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.

518 x 456 x 642 x 845 x 851 = 109047546709920

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.

518 : 1, 2, 7, 14, 37, 74, 259, 518

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

845 : 1, 5, 13, 65, 169, 845

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,456,642,845,851, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

456:2x 2x 2x 3x 19

642:2x 3x 107

845:5x 13x 13

851:23x 37

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 3x 37 = 444

Therefore, the value for common factors is 444.

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 = 109047546709920/(1x444)

LCM = 109047546709920/444

LCM = 245602582680

Thus, we can understand that the LCM of 518,456,642,845,851 is 245602582680.

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

• LCM of 697, 670, 903, 568, 501
• LCM of 155, 343, 484, 961, 679
• LCM of 319, 105, 835, 775, 126
• LCM of 878, 899, 442, 498, 513
• LCM of 152, 875, 211, 894, 538

1. What is the LCM of 518, 456, 642, 845, 851?

Answer: LCM of 518, 456, 642, 845, 851 is 245602582680.

2. How to calculate the LCM of 518, 456, 642, 845, 851?

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 518, 456, 642, 845, 851.

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}.