Given numbers are 327,963,110,288,216

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

The LCM of 327,963,110,288,216 is 554225760.

Find LCM of 327,963,110,288,216 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 109 x 107 x 55 x 4 x 3 = 554225760

Therefore, the lowest common multiple of 327,963,110,288,216 is 554225760.

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 963 x 110 x 288 x 216 = 2154829754880

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

963 : 1, 3, 9, 107, 321, 963

110 : 1, 2, 5, 10, 11, 22, 55, 110

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

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,963,110,288,216, is 1.

Now, the common factors can be found like this.

327:3x 109

963:3x 3x 107

110:2x 5x 11

288:2x 2x 2x 2x 2x 3x 3

216:2x 2x 2x 3x 3x 3

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 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 2154829754880/(1x3888)

LCM = 2154829754880/3888

LCM = 554225760

Thus, we can understand that the LCM of 327,963,110,288,216 is 554225760.

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

• LCM of 273, 129, 641, 666, 200
• LCM of 433, 978, 424, 682, 115
• LCM of 328, 396, 968, 490, 569
• LCM of 345, 436, 332, 809, 121
• LCM of 367, 743, 803, 819, 682

1. What is the LCM of 327, 963, 110, 288, 216?

Answer: LCM of 327, 963, 110, 288, 216 is 554225760.

2. How to calculate the LCM of 327, 963, 110, 288, 216?

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, 963, 110, 288, 216.

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}.