Given numbers are 327,234,304,816

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

The LCM of 327,234,304,816 is 65907504.

Find LCM of 327,234,304,816 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 109 x 39 x 19 x 17 = 65907504

Therefore, the lowest common multiple of 327,234,304,816 is 65907504.

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 234 x 304 x 816 = 18981361152

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,234,304,816, is 1.

Now, the common factors can be found like this.

327:3x 109

234:2x 3x 3x 13

304:2x 2x 2x 2x 19

816:2x 2x 2x 2x 3x 17

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 18981361152/(1x288)

LCM = 18981361152/288

LCM = 65907504

Thus, we can understand that the LCM of 327,234,304,816 is 65907504.

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

• LCM of 722, 611, 399, 217
• LCM of 616, 764, 633, 200
• LCM of 762, 498, 904, 308
• LCM of 344, 348, 228, 800
• LCM of 130, 527, 230, 208

1. What is the LCM of 327, 234, 304, 816?

Answer: LCM of 327, 234, 304, 816 is 65907504.

2. How to calculate the LCM of 327, 234, 304, 816?

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, 234, 304, 816.

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}.