Given numbers are 304,328,204,544,918

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

The LCM of 304,328,204,544,918 is 11441952.

Find LCM of 304,328,204,544,918 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 19 x 41 x 1 x 2 x 9 = 11441952

Therefore, the lowest common multiple of 304,328,204,544,918 is 11441952.

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 328 x 204 x 544 x 918 = 10158256521216

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

328 : 1, 2, 4, 8, 41, 82, 164, 328

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,328,204,544,918, is 2.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

328:2x 2x 2x 41

204:2x 2x 3x 17

544:2x 2x 2x 2x 2x 17

918:2x 3x 3x 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 2x 2x 2x 2x 3x 17x 17 = 443904

Therefore, the value for common factors is 443904.

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 = 10158256521216/(2x443904)

LCM = 10158256521216/887808

LCM = 11441952

Thus, we can understand that the LCM of 304,328,204,544,918 is 11441952.

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

• LCM of 426, 915, 119, 482, 583
• LCM of 385, 526, 616, 920, 326
• LCM of 220, 559, 481, 387, 763
• LCM of 650, 197, 993, 896, 959
• LCM of 317, 902, 150, 369, 335

1. What is the LCM of 304, 328, 204, 544, 918?

Answer: LCM of 304, 328, 204, 544, 918 is 11441952.

2. How to calculate the LCM of 304, 328, 204, 544, 918?

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, 328, 204, 544, 918.

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}.