Given numbers are 394,304,760,936

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

The LCM of 394,304,760,936 is 35034480.

Find LCM of 394,304,760,936 with Prime Factorization

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

2 x 2 x 2 x 19 x 197 x 2 x 5 x 117 = 35034480

Therefore, the lowest common multiple of 394,304,760,936 is 35034480.

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.

394 x 304 x 760 x 936 = 85203855360

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.

394 : 1, 2, 197, 394

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

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,304,760,936, is 2.

Now, the common factors can be found like this.

394:2x 197

304:2x 2x 2x 2x 19

760:2x 2x 2x 5x 19

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

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 19 = 1216

Therefore, the value for common factors is 1216.

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 = 85203855360/(2x1216)

LCM = 85203855360/2432

LCM = 35034480

Thus, we can understand that the LCM of 394,304,760,936 is 35034480.

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

• LCM of 110, 313, 356, 652
• LCM of 306, 688, 807, 301
• LCM of 645, 641, 751, 382
• LCM of 780, 562, 562, 932
• LCM of 582, 522, 938, 567

1. What is the LCM of 394, 304, 760, 936?

Answer: LCM of 394, 304, 760, 936 is 35034480.

2. How to calculate the LCM of 394, 304, 760, 936?

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 394, 304, 760, 936.

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}.