Given numbers are 327,250,864,992

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

The LCM of 327,250,864,992 is 364932000.

Find LCM of 327,250,864,992 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 109 x 125 x 9 x 31 = 364932000

Therefore, the lowest common multiple of 327,250,864,992 is 364932000.

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.

327 x 250 x 864 x 992 = 70066944000

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.

327 : 1, 3, 109, 327

250 : 1, 2, 5, 10, 25, 50, 125, 250

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,250,864,992, is 1.

Now, the common factors can be found like this.

327:3x 109

250:2x 5x 5x 5

864:2x 2x 2x 2x 2x 3x 3x 3

992:2x 2x 2x 2x 2x 31

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 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 70066944000/(1x192)

LCM = 70066944000/192

LCM = 364932000

Thus, we can understand that the LCM of 327,250,864,992 is 364932000.

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

• LCM of 989, 308, 946, 997
• LCM of 101, 457, 125, 745
• LCM of 292, 376, 765, 362
• LCM of 531, 225, 817, 554
• LCM of 821, 496, 495, 601

1. What is the LCM of 327, 250, 864, 992?

Answer: LCM of 327, 250, 864, 992 is 364932000.

2. How to calculate the LCM of 327, 250, 864, 992?

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 327, 250, 864, 992.

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}.