Given numbers are 323,427,986,306,928

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

The LCM of 323,427,986,306,928 is 1151916192.

Find LCM of 323,427,986,306,928 with Prime Factorization

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

2 x 17 x 29 x 19 x 427 x 1 x 9 x 16 = 1151916192

Therefore, the lowest common multiple of 323,427,986,306,928 is 1151916192.

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.

323 x 427 x 986 x 306 x 928 = 38616838420608

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.

323 : 1, 17, 19, 323

427 : 1, 7, 61, 427

986 : 1, 2, 17, 29, 34, 58, 493, 986

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,427,986,306,928, is 1.

Now, the common factors can be found like this.

323:17x 19

427:7x 61

986:2x 17x 29

306:2x 3x 3x 17

928:2x 2x 2x 2x 2x 29

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 17x 17x 29 = 33524

Therefore, the value for common factors is 33524.

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 = 38616838420608/(1x33524)

LCM = 38616838420608/33524

LCM = 1151916192

Thus, we can understand that the LCM of 323,427,986,306,928 is 1151916192.

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

• LCM of 822, 692, 802, 613, 995
• LCM of 779, 408, 582, 448, 653
• LCM of 149, 821, 301, 406, 891
• LCM of 781, 582, 551, 192, 167
• LCM of 828, 472, 466, 290, 602

1. What is the LCM of 323, 427, 986, 306, 928?

Answer: LCM of 323, 427, 986, 306, 928 is 1151916192.

2. How to calculate the LCM of 323, 427, 986, 306, 928?

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 323, 427, 986, 306, 928.

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}.