Given numbers are 311,428,538

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

The LCM of 311,428,538 is 35806052.

Find LCM of 311,428,538 with Prime Factorization

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

2 x 311 x 214 x 269 = 35806052

Therefore, the lowest common multiple of 311,428,538 is 35806052.

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 428 x 538 = 71612104

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

428 : 1, 2, 4, 107, 214, 428

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,428,538, is 1.

Now, the common factors can be found like this.

311:311

428:2x 2x 107

538:2x 269

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 = 71612104/(1x2)

LCM = 71612104/2

LCM = 35806052

Thus, we can understand that the LCM of 311,428,538 is 35806052.

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

• LCM of 574, 132, 221
• LCM of 467, 385, 565
• LCM of 336, 863, 663
• LCM of 650, 279, 786
• LCM of 435, 491, 290

1. What is the LCM of 311, 428, 538?

Answer: LCM of 311, 428, 538 is 35806052.

2. How to calculate the LCM of 311, 428, 538?

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, 428, 538.

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}.