Given numbers are 928,408,726,936,940

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

The LCM of 928,408,726,936,940 is 52485095520.

Find LCM of 928,408,726,936,940 with Prime Factorization

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

2 x 2 x 2 x 3 x 116 x 17 x 121 x 39 x 235 = 52485095520

Therefore, the lowest common multiple of 928,408,726,936,940 is 52485095520.

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.

928 x 408 x 726 x 936 x 940 = 241851320156160

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.

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

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,408,726,936,940, is 2.

Now, the common factors can be found like this.

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

408:2x 2x 2x 3x 17

726:2x 3x 11x 11

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

940:2x 2x 5x 47

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 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 241851320156160/(2x2304)

LCM = 241851320156160/4608

LCM = 52485095520

Thus, we can understand that the LCM of 928,408,726,936,940 is 52485095520.

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

• LCM of 740, 140, 518, 675, 976
• LCM of 240, 252, 797, 735, 826
• LCM of 874, 329, 893, 728, 265
• LCM of 517, 355, 405, 661, 428
• LCM of 763, 770, 864, 500, 945

1. What is the LCM of 928, 408, 726, 936, 940?

Answer: LCM of 928, 408, 726, 936, 940 is 52485095520.

2. How to calculate the LCM of 928, 408, 726, 936, 940?

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 928, 408, 726, 936, 940.

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}.