Given numbers are 304,409,323,366

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

The LCM of 304,409,323,366 is 386809296.

Find LCM of 304,409,323,366 with Prime Factorization

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

2 x 19 x 8 x 409 x 17 x 183 = 386809296

Therefore, the lowest common multiple of 304,409,323,366 is 386809296.

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.

304 x 409 x 323 x 366 = 14698753248

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.

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

409 : 1, 409

323 : 1, 17, 19, 323

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,409,323,366, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

409:409

323:17x 19

366:2x 3x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 14698753248/(1x38)

LCM = 14698753248/38

LCM = 386809296

Thus, we can understand that the LCM of 304,409,323,366 is 386809296.

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

• LCM of 963, 389, 735, 767
• LCM of 808, 797, 667, 692
• LCM of 849, 546, 605, 119
• LCM of 439, 497, 472, 928
• LCM of 326, 121, 227, 955

1. What is the LCM of 304, 409, 323, 366?

Answer: LCM of 304, 409, 323, 366 is 386809296.

2. How to calculate the LCM of 304, 409, 323, 366?

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 304, 409, 323, 366.

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}.