Given numbers are 324,194,233,792,228

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

The LCM of 324,194,233,792,228 is 3060898632.

Find LCM of 324,194,233,792,228 with Prime Factorization

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

2 x 2 x 3 x 3 x 9 x 97 x 233 x 22 x 19 = 3060898632

Therefore, the lowest common multiple of 324,194,233,792,228 is 3060898632.

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.

324 x 194 x 233 x 792 x 228 = 2644616418048

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

194 : 1, 2, 97, 194

233 : 1, 233

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,194,233,792,228, is 1.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

194:2x 97

233:233

792:2x 2x 2x 3x 3x 11

228:2x 2x 3x 19

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 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 2644616418048/(1x864)

LCM = 2644616418048/864

LCM = 3060898632

Thus, we can understand that the LCM of 324,194,233,792,228 is 3060898632.

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

• LCM of 736, 147, 513, 936, 543
• LCM of 683, 337, 543, 865, 321
• LCM of 449, 407, 789, 109, 955
• LCM of 835, 781, 761, 938, 709
• LCM of 530, 968, 522, 297, 480

1. What is the LCM of 324, 194, 233, 792, 228?

Answer: LCM of 324, 194, 233, 792, 228 is 3060898632.

2. How to calculate the LCM of 324, 194, 233, 792, 228?

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 324, 194, 233, 792, 228.

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}.