Given numbers are 311,831,149,723,972

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

The LCM of 311,831,149,723,972 is 3006835949556.

Find LCM of 311,831,149,723,972 with Prime Factorization

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

3 x 311 x 277 x 149 x 241 x 324 = 3006835949556

Therefore, the lowest common multiple of 311,831,149,723,972 is 3006835949556.

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 831 x 149 x 723 x 972 = 27061523546004

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

831 : 1, 3, 277, 831

149 : 1, 149

723 : 1, 3, 241, 723

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,831,149,723,972, is 1.

Now, the common factors can be found like this.

311:311

831:3x 277

149:149

723:3x 241

972:2x 2x 3x 3x 3x 3x 3

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 = 27061523546004/(1x9)

LCM = 27061523546004/9

LCM = 3006835949556

Thus, we can understand that the LCM of 311,831,149,723,972 is 3006835949556.

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

• LCM of 976, 629, 459, 588, 628
• LCM of 722, 105, 878, 656, 106
• LCM of 112, 564, 605, 422, 709
• LCM of 792, 783, 587, 600, 154
• LCM of 426, 434, 800, 446, 204

1. What is the LCM of 311, 831, 149, 723, 972?

Answer: LCM of 311, 831, 149, 723, 972 is 3006835949556.

2. How to calculate the LCM of 311, 831, 149, 723, 972?

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, 831, 149, 723, 972.

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}.