Given numbers are 393,317,511,936,428

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

The LCM of 393,317,511,936,428 is 2125255185144.

Find LCM of 393,317,511,936,428 with Prime Factorization

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

2 x 2 x 3 x 131 x 317 x 511 x 78 x 107 = 2125255185144

Therefore, the lowest common multiple of 393,317,511,936,428 is 2125255185144.

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.

393 x 317 x 511 x 936 x 428 = 25503062221728

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.

393 : 1, 3, 131, 393

317 : 1, 317

511 : 1, 7, 73, 511

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,317,511,936,428, is 1.

Now, the common factors can be found like this.

393:3x 131

317:317

511:7x 73

936:2x 2x 2x 3x 3x 13

428:2x 2x 107

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 3 = 12

Therefore, the value for common factors is 12.

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 = 25503062221728/(1x12)

LCM = 25503062221728/12

LCM = 2125255185144

Thus, we can understand that the LCM of 393,317,511,936,428 is 2125255185144.

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

• LCM of 993, 563, 727, 353, 150
• LCM of 554, 578, 924, 111, 568
• LCM of 112, 221, 801, 607, 270
• LCM of 170, 408, 390, 916, 900
• LCM of 544, 397, 810, 849, 240

1. What is the LCM of 393, 317, 511, 936, 428?

Answer: LCM of 393, 317, 511, 936, 428 is 2125255185144.

2. How to calculate the LCM of 393, 317, 511, 936, 428?

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 393, 317, 511, 936, 428.

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}.