Given numbers are 213,408,489,589

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

The LCM of 213,408,489,589 is 2781130776.

Find LCM of 213,408,489,589 with Prime Factorization

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

3 x 71 x 136 x 163 x 589 = 2781130776

Therefore, the lowest common multiple of 213,408,489,589 is 2781130776.

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.

213 x 408 x 489 x 589 = 25030176984

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.

213 : 1, 3, 71, 213

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

489 : 1, 3, 163, 489

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,408,489,589, is 1.

Now, the common factors can be found like this.

213:3x 71

408:2x 2x 2x 3x 17

489:3x 163

589:19x 31

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 25030176984/(1x9)

LCM = 25030176984/9

LCM = 2781130776

Thus, we can understand that the LCM of 213,408,489,589 is 2781130776.

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

• LCM of 861, 827, 275, 983
• LCM of 950, 205, 560, 452
• LCM of 832, 373, 966, 770
• LCM of 129, 348, 801, 812
• LCM of 855, 507, 860, 422

1. What is the LCM of 213, 408, 489, 589?

Answer: LCM of 213, 408, 489, 589 is 2781130776.

2. How to calculate the LCM of 213, 408, 489, 589?

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 213, 408, 489, 589.

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}.