Given numbers are 230,284,491,281,177

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

The LCM of 230,284,491,281,177 is 797585516220.

Find LCM of 230,284,491,281,177 with Prime Factorization

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

2 x 115 x 142 x 491 x 281 x 177 = 797585516220

Therefore, the lowest common multiple of 230,284,491,281,177 is 797585516220.

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.

230 x 284 x 491 x 281 x 177 = 1595171032440

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

284 : 1, 2, 4, 71, 142, 284

491 : 1, 491

281 : 1, 281

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,284,491,281,177, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

284:2x 2x 71

491:491

281:281

177:3x 59

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

2 = 2

Therefore, the value for common factors is 2.

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 = 1595171032440/(1x2)

LCM = 1595171032440/2

LCM = 797585516220

Thus, we can understand that the LCM of 230,284,491,281,177 is 797585516220.

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

• LCM of 287, 938, 428, 405, 936
• LCM of 956, 298, 845, 842, 963
• LCM of 808, 378, 996, 451, 645
• LCM of 764, 556, 969, 138, 996
• LCM of 674, 993, 250, 165, 199

1. What is the LCM of 230, 284, 491, 281, 177?

Answer: LCM of 230, 284, 491, 281, 177 is 797585516220.

2. How to calculate the LCM of 230, 284, 491, 281, 177?

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 230, 284, 491, 281, 177.

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}.