Given numbers are 960,486,330,363

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

The LCM of 960,486,330,363 is 9408960.

Find LCM of 960,486,330,363 with Prime Factorization

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

2 x 3 x 5 x 11 x 32 x 81 x 1 x 11 = 9408960

Therefore, the lowest common multiple of 960,486,330,363 is 9408960.

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.

960 x 486 x 330 x 363 = 55889222400

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

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

363 : 1, 3, 11, 33, 121, 363

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,486,330,363, is 3.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

486:2x 3x 3x 3x 3x 3

330:2x 3x 5x 11

363:3x 11x 11

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 5x 11 = 1980

Therefore, the value for common factors is 1980.

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 = 55889222400/(3x1980)

LCM = 55889222400/5940

LCM = 9408960

Thus, we can understand that the LCM of 960,486,330,363 is 9408960.

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

• LCM of 449, 523, 133, 299
• LCM of 963, 172, 387, 628
• LCM of 589, 439, 858, 160
• LCM of 881, 614, 332, 514
• LCM of 819, 112, 873, 952

1. What is the LCM of 960, 486, 330, 363?

Answer: LCM of 960, 486, 330, 363 is 9408960.

2. How to calculate the LCM of 960, 486, 330, 363?

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 960, 486, 330, 363.

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}.