Given numbers are 311,298,178,244,258

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

The LCM of 311,298,178,244,258 is 129812406396.

Find LCM of 311,298,178,244,258 with Prime Factorization

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

2 x 311 x 149 x 89 x 122 x 129 = 129812406396

Therefore, the lowest common multiple of 311,298,178,244,258 is 129812406396.

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.

311 x 298 x 178 x 244 x 258 = 1038499251168

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.

311 : 1, 311

298 : 1, 2, 149, 298

178 : 1, 2, 89, 178

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

258 : 1, 2, 3, 6, 43, 86, 129, 258

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,298,178,244,258, is 1.

Now, the common factors can be found like this.

311:311

298:2x 149

178:2x 89

244:2x 2x 61

258:2x 3x 43

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 2 = 8

Therefore, the value for common factors is 8.

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 = 1038499251168/(1x8)

LCM = 1038499251168/8

LCM = 129812406396

Thus, we can understand that the LCM of 311,298,178,244,258 is 129812406396.

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

• LCM of 982, 624, 233, 355, 241
• LCM of 743, 662, 828, 862, 720
• LCM of 663, 799, 782, 552, 123
• LCM of 189, 219, 565, 892, 374
• LCM of 385, 429, 272, 455, 880

1. What is the LCM of 311, 298, 178, 244, 258?

Answer: LCM of 311, 298, 178, 244, 258 is 129812406396.

2. How to calculate the LCM of 311, 298, 178, 244, 258?

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 311, 298, 178, 244, 258.

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}.