Given numbers are 936,408,935,460

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

The LCM of 936,408,935,460 is 20128680.

Find LCM of 936,408,935,460 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 17 x 39 x 1 x 11 x 23 = 20128680

Therefore, the lowest common multiple of 936,408,935,460 is 20128680.

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.

936 x 408 x 935 x 460 = 164250028800

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.

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

935 : 1, 5, 11, 17, 55, 85, 187, 935

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,408,935,460, is 1.

Now, the common factors can be found like this.

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

408:2x 2x 2x 3x 17

935:5x 11x 17

460:2x 2x 5x 23

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 3x 5x 17 = 8160

Therefore, the value for common factors is 8160.

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 = 164250028800/(1x8160)

LCM = 164250028800/8160

LCM = 20128680

Thus, we can understand that the LCM of 936,408,935,460 is 20128680.

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

• LCM of 321, 600, 757, 431
• LCM of 643, 440, 692, 443
• LCM of 743, 886, 460, 577
• LCM of 732, 403, 756, 669
• LCM of 766, 334, 916, 252

1. What is the LCM of 936, 408, 935, 460?

Answer: LCM of 936, 408, 935, 460 is 20128680.

2. How to calculate the LCM of 936, 408, 935, 460?

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 936, 408, 935, 460.

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}.