Given numbers are 786,208,772,660,928

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

The LCM of 786,208,772,660,928 is 50327328480.

Find LCM of 786,208,772,660,928 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 131 x 13 x 193 x 55 x 58 = 50327328480

Therefore, the lowest common multiple of 786,208,772,660,928 is 50327328480.

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.

786 x 208 x 772 x 660 x 928 = 77302776545280

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.

786 : 1, 2, 3, 6, 131, 262, 393, 786

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

772 : 1, 2, 4, 193, 386, 772

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,208,772,660,928, is 2.

Now, the common factors can be found like this.

786:2x 3x 131

208:2x 2x 2x 2x 13

772:2x 2x 193

660:2x 2x 3x 5x 11

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 2x 2x 2x 2x 2x 2x 3 = 768

Therefore, the value for common factors is 768.

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 = 77302776545280/(2x768)

LCM = 77302776545280/1536

LCM = 50327328480

Thus, we can understand that the LCM of 786,208,772,660,928 is 50327328480.

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

• LCM of 831, 702, 932, 438, 325
• LCM of 649, 607, 752, 159, 853
• LCM of 216, 511, 992, 359, 161
• LCM of 618, 287, 647, 686, 954
• LCM of 423, 768, 447, 233, 421

1. What is the LCM of 786, 208, 772, 660, 928?

Answer: LCM of 786, 208, 772, 660, 928 is 50327328480.

2. How to calculate the LCM of 786, 208, 772, 660, 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 786, 208, 772, 660, 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}.