Given numbers are 516,575,855,214

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

The LCM of 516,575,855,214 is 1809573300.

Find LCM of 516,575,855,214 with Prime Factorization

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

2 x 3 x 5 x 86 x 115 x 57 x 107 = 1809573300

Therefore, the lowest common multiple of 516,575,855,214 is 1809573300.

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.

516 x 575 x 855 x 214 = 54287199000

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

575 : 1, 5, 23, 25, 115, 575

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,575,855,214, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

575:5x 5x 23

855:3x 3x 5x 19

214:2x 107

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

2x 3x 5 = 30

Therefore, the value for common factors is 30.

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 = 54287199000/(1x30)

LCM = 54287199000/30

LCM = 1809573300

Thus, we can understand that the LCM of 516,575,855,214 is 1809573300.

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

• LCM of 712, 808, 959, 644
• LCM of 295, 196, 858, 160
• LCM of 807, 279, 634, 976
• LCM of 512, 184, 454, 691
• LCM of 105, 260, 680, 812

1. What is the LCM of 516, 575, 855, 214?

Answer: LCM of 516, 575, 855, 214 is 1809573300.

2. How to calculate the LCM of 516, 575, 855, 214?

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 516, 575, 855, 214.

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}.