Given numbers are 330,600,726,273,331

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

The LCM of 330,600,726,273,331 is 2186784600.

Find LCM of 330,600,726,273,331 with Prime Factorization

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

2 x 3 x 5 x 11 x 1 x 20 x 11 x 91 x 331 = 2186784600

Therefore, the lowest common multiple of 330,600,726,273,331 is 2186784600.

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.

330 x 600 x 726 x 273 x 331 = 12989500524000

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.

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

273 : 1, 3, 7, 13, 21, 39, 91, 273

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,600,726,273,331, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

600:2x 2x 2x 3x 5x 5

726:2x 3x 11x 11

273:3x 7x 13

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 3x 3x 3x 5x 11 = 5940

Therefore, the value for common factors is 5940.

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 = 12989500524000/(1x5940)

LCM = 12989500524000/5940

LCM = 2186784600

Thus, we can understand that the LCM of 330,600,726,273,331 is 2186784600.

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

• LCM of 820, 447, 240, 529, 532
• LCM of 595, 885, 524, 154, 847
• LCM of 962, 355, 727, 702, 563
• LCM of 376, 784, 692, 361, 315
• LCM of 722, 218, 575, 265, 590

1. What is the LCM of 330, 600, 726, 273, 331?

Answer: LCM of 330, 600, 726, 273, 331 is 2186784600.

2. How to calculate the LCM of 330, 600, 726, 273, 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 330, 600, 726, 273, 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}.