Given numbers are 311,314,234,906

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

The LCM of 311,314,234,906 is 1725253218.

Find LCM of 311,314,234,906 with Prime Factorization

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

2 x 3 x 311 x 157 x 39 x 151 = 1725253218

Therefore, the lowest common multiple of 311,314,234,906 is 1725253218.

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 314 x 234 x 906 = 20703038616

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

314 : 1, 2, 157, 314

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

906 : 1, 2, 3, 6, 151, 302, 453, 906

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,314,234,906, is 1.

Now, the common factors can be found like this.

311:311

314:2x 157

234:2x 3x 3x 13

906:2x 3x 151

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 3 = 12

Therefore, the value for common factors is 12.

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 = 20703038616/(1x12)

LCM = 20703038616/12

LCM = 1725253218

Thus, we can understand that the LCM of 311,314,234,906 is 1725253218.

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

• LCM of 629, 601, 565, 363
• LCM of 479, 151, 532, 444
• LCM of 520, 584, 220, 473
• LCM of 622, 491, 916, 149
• LCM of 662, 515, 766, 419

1. What is the LCM of 311, 314, 234, 906?

Answer: LCM of 311, 314, 234, 906 is 1725253218.

2. How to calculate the LCM of 311, 314, 234, 906?

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, 314, 234, 906.

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}.