Given numbers are 589,813,800,122,238

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

The LCM of 589,813,800,122,238 is 2780818370400.

Find LCM of 589,813,800,122,238 with Prime Factorization

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

2 x 589 x 813 x 400 x 61 x 119 = 2780818370400

Therefore, the lowest common multiple of 589,813,800,122,238 is 2780818370400.

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.

589 x 813 x 800 x 122 x 238 = 11123273481600

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.

589 : 1, 19, 31, 589

813 : 1, 3, 271, 813

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

122 : 1, 2, 61, 122

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,813,800,122,238, is 1.

Now, the common factors can be found like this.

589:19x 31

813:3x 271

800:2x 2x 2x 2x 2x 5x 5

122:2x 61

238:2x 7x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 11123273481600/(1x4)

LCM = 11123273481600/4

LCM = 2780818370400

Thus, we can understand that the LCM of 589,813,800,122,238 is 2780818370400.

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

• LCM of 118, 987, 526, 680, 565
• LCM of 610, 376, 111, 787, 416
• LCM of 416, 647, 560, 377, 611
• LCM of 332, 261, 610, 767, 123
• LCM of 909, 791, 609, 968, 300

1. What is the LCM of 589, 813, 800, 122, 238?

Answer: LCM of 589, 813, 800, 122, 238 is 2780818370400.

2. How to calculate the LCM of 589, 813, 800, 122, 238?

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 589, 813, 800, 122, 238.

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}.