Given numbers are 488,143,211,204,589

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

The LCM of 488,143,211,204,589 is 442306972536.

Find LCM of 488,143,211,204,589 with Prime Factorization

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

2 x 2 x 122 x 143 x 211 x 51 x 589 = 442306972536

Therefore, the lowest common multiple of 488,143,211,204,589 is 442306972536.

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.

488 x 143 x 211 x 204 x 589 = 1769227890144

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

143 : 1, 11, 13, 143

211 : 1, 211

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,143,211,204,589, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

143:11x 13

211:211

204:2x 2x 3x 17

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.

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 = 1769227890144/(1x4)

LCM = 1769227890144/4

LCM = 442306972536

Thus, we can understand that the LCM of 488,143,211,204,589 is 442306972536.

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

• LCM of 372, 256, 640, 466, 162
• LCM of 339, 979, 981, 550, 165
• LCM of 180, 523, 780, 543, 305
• LCM of 122, 139, 383, 632, 500
• LCM of 597, 319, 255, 105, 861

1. What is the LCM of 488, 143, 211, 204, 589?

Answer: LCM of 488, 143, 211, 204, 589 is 442306972536.

2. How to calculate the LCM of 488, 143, 211, 204, 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 488, 143, 211, 204, 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}.