Given numbers are 234,326,514,304,331

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

The LCM of 234,326,514,304,331 is 493183078128.

Find LCM of 234,326,514,304,331 with Prime Factorization

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

2 x 117 x 163 x 257 x 152 x 331 = 493183078128

Therefore, the lowest common multiple of 234,326,514,304,331 is 493183078128.

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.

234 x 326 x 514 x 304 x 331 = 3945464625024

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.

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

326 : 1, 2, 163, 326

514 : 1, 2, 257, 514

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,326,514,304,331, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

326:2x 163

514:2x 257

304:2x 2x 2x 2x 19

331:331

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 = 3945464625024/(1x8)

LCM = 3945464625024/8

LCM = 493183078128

Thus, we can understand that the LCM of 234,326,514,304,331 is 493183078128.

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

• LCM of 959, 421, 583, 436, 968
• LCM of 150, 519, 860, 713, 957
• LCM of 302, 279, 843, 190, 748
• LCM of 813, 481, 910, 685, 904
• LCM of 337, 918, 519, 288, 111

1. What is the LCM of 234, 326, 514, 304, 331?

Answer: LCM of 234, 326, 514, 304, 331 is 493183078128.

2. How to calculate the LCM of 234, 326, 514, 304, 331?

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 234, 326, 514, 304, 331.

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}.