Given numbers are 339,492,363,311

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

The LCM of 339,492,363,311 is 2092133076.

Find LCM of 339,492,363,311 with Prime Factorization

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

3 x 113 x 164 x 121 x 311 = 2092133076

Therefore, the lowest common multiple of 339,492,363,311 is 2092133076.

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.

339 x 492 x 363 x 311 = 18829197684

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.

339 : 1, 3, 113, 339

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

363 : 1, 3, 11, 33, 121, 363

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,492,363,311, is 1.

Now, the common factors can be found like this.

339:3x 113

492:2x 2x 3x 41

363:3x 11x 11

311:311

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 = 18829197684/(1x9)

LCM = 18829197684/9

LCM = 2092133076

Thus, we can understand that the LCM of 339,492,363,311 is 2092133076.

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

• LCM of 841, 922, 269, 387
• LCM of 132, 455, 994, 850
• LCM of 173, 608, 931, 496
• LCM of 780, 313, 357, 874
• LCM of 967, 127, 152, 636

1. What is the LCM of 339, 492, 363, 311?

Answer: LCM of 339, 492, 363, 311 is 2092133076.

2. How to calculate the LCM of 339, 492, 363, 311?

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 339, 492, 363, 311.

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}.