Given numbers are 206,792,762,866,966

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

The LCM of 206,792,762,866,966 is 722237276376.

Find LCM of 206,792,762,866,966 with Prime Factorization

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

2 x 3 x 103 x 132 x 127 x 433 x 161 = 722237276376

Therefore, the lowest common multiple of 206,792,762,866,966 is 722237276376.

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.

206 x 792 x 762 x 866 x 966 = 104002167798144

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.

206 : 1, 2, 103, 206

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

762 : 1, 2, 3, 6, 127, 254, 381, 762

866 : 1, 2, 433, 866

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,792,762,866,966, is 2.

Now, the common factors can be found like this.

206:2x 103

792:2x 2x 2x 3x 3x 11

762:2x 3x 127

866:2x 433

966:2x 3x 7x 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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 104002167798144/(2x72)

LCM = 104002167798144/144

LCM = 722237276376

Thus, we can understand that the LCM of 206,792,762,866,966 is 722237276376.

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

• LCM of 945, 767, 991, 999, 650
• LCM of 530, 964, 702, 755, 358
• LCM of 996, 541, 626, 564, 924
• LCM of 603, 789, 269, 880, 856
• LCM of 565, 662, 273, 289, 444

1. What is the LCM of 206, 792, 762, 866, 966?

Answer: LCM of 206, 792, 762, 866, 966 is 722237276376.

2. How to calculate the LCM of 206, 792, 762, 866, 966?

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 206, 792, 762, 866, 966.

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}.