Given numbers are 993,828,330,924

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

The LCM of 993,828,330,924 is 105516180.

Find LCM of 993,828,330,924 with Prime Factorization

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

2 x 2 x 3 x 11 x 331 x 69 x 5 x 7 = 105516180

Therefore, the lowest common multiple of 993,828,330,924 is 105516180.

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.

993 x 828 x 330 x 924 = 250706443680

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.

993 : 1, 3, 331, 993

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,828,330,924, is 3.

Now, the common factors can be found like this.

993:3x 331

828:2x 2x 3x 3x 23

330:2x 3x 5x 11

924:2x 2x 3x 7x 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 2x 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 250706443680/(3x792)

LCM = 250706443680/2376

LCM = 105516180

Thus, we can understand that the LCM of 993,828,330,924 is 105516180.

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

• LCM of 518, 310, 762, 532
• LCM of 373, 981, 894, 231
• LCM of 748, 219, 778, 333
• LCM of 853, 968, 201, 638
• LCM of 950, 922, 979, 121

1. What is the LCM of 993, 828, 330, 924?

Answer: LCM of 993, 828, 330, 924 is 105516180.

2. How to calculate the LCM of 993, 828, 330, 924?

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 993, 828, 330, 924.

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}.