Given numbers are 214,820,660,589,558

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

The LCM of 214,820,660,589,558 is 5116207140.

Find LCM of 214,820,660,589,558 with Prime Factorization

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

2 x 2 x 3 x 5 x 31 x 107 x 41 x 11 x 19 x 3 = 5116207140

Therefore, the lowest common multiple of 214,820,660,589,558 is 5116207140.

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.

214 x 820 x 660 x 589 x 558 = 38064581121600

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.

214 : 1, 2, 107, 214

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

589 : 1, 19, 31, 589

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,820,660,589,558, is 1.

Now, the common factors can be found like this.

214:2x 107

820:2x 2x 5x 41

660:2x 2x 3x 5x 11

589:19x 31

558:2x 3x 3x 31

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 2x 3x 5x 31 = 7440

Therefore, the value for common factors is 7440.

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 = 38064581121600/(1x7440)

LCM = 38064581121600/7440

LCM = 5116207140

Thus, we can understand that the LCM of 214,820,660,589,558 is 5116207140.

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

• LCM of 541, 820, 877, 203, 968
• LCM of 480, 870, 211, 392, 555
• LCM of 684, 444, 278, 839, 808
• LCM of 735, 748, 578, 393, 549
• LCM of 111, 250, 712, 164, 336

1. What is the LCM of 214, 820, 660, 589, 558?

Answer: LCM of 214, 820, 660, 589, 558 is 5116207140.

2. How to calculate the LCM of 214, 820, 660, 589, 558?

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 214, 820, 660, 589, 558.

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}.