Given numbers are 329,327,112,614,410

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

The LCM of 329,327,112,614,410 is 108331777680.

Find LCM of 329,327,112,614,410 with Prime Factorization

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

2 x 7 x 47 x 327 x 8 x 307 x 205 = 108331777680

Therefore, the lowest common multiple of 329,327,112,614,410 is 108331777680.

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.

329 x 327 x 112 x 614 x 410 = 3033289775040

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.

329 : 1, 7, 47, 329

327 : 1, 3, 109, 327

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

614 : 1, 2, 307, 614

410 : 1, 2, 5, 10, 41, 82, 205, 410

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,327,112,614,410, is 1.

Now, the common factors can be found like this.

329:7x 47

327:3x 109

112:2x 2x 2x 2x 7

614:2x 307

410:2x 5x 41

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 7 = 28

Therefore, the value for common factors is 28.

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 = 3033289775040/(1x28)

LCM = 3033289775040/28

LCM = 108331777680

Thus, we can understand that the LCM of 329,327,112,614,410 is 108331777680.

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

• LCM of 372, 737, 458, 504, 853
• LCM of 985, 301, 884, 740, 388
• LCM of 803, 724, 389, 761, 275
• LCM of 820, 615, 701, 158, 395
• LCM of 816, 587, 584, 301, 505

1. What is the LCM of 329, 327, 112, 614, 410?

Answer: LCM of 329, 327, 112, 614, 410 is 108331777680.

2. How to calculate the LCM of 329, 327, 112, 614, 410?

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 329, 327, 112, 614, 410.

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}.