Given numbers are 330,372,576,876

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

The LCM of 330,372,576,876 is 71691840.

Find LCM of 330,372,576,876 with Prime Factorization

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

2 x 2 x 3 x 55 x 31 x 48 x 73 = 71691840

Therefore, the lowest common multiple of 330,372,576,876 is 71691840.

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 372 x 576 x 876 = 61941749760

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,372,576,876, is 6.

Now, the common factors can be found like this.

330:2x 3x 5x 11

372:2x 2x 3x 31

576:2x 2x 2x 2x 2x 2x 3x 3

876:2x 2x 3x 73

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 61941749760/(6x144)

LCM = 61941749760/864

LCM = 71691840

Thus, we can understand that the LCM of 330,372,576,876 is 71691840.

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

• LCM of 357, 203, 183, 921
• LCM of 200, 810, 381, 294
• LCM of 721, 107, 917, 541
• LCM of 552, 391, 551, 525
• LCM of 117, 679, 455, 505

1. What is the LCM of 330, 372, 576, 876?

Answer: LCM of 330, 372, 576, 876 is 71691840.

2. How to calculate the LCM of 330, 372, 576, 876?

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, 372, 576, 876.

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}.