Given numbers are 792,461,405,966

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

The LCM of 792,461,405,966 is 2645236440.

Find LCM of 792,461,405,966 with Prime Factorization

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

2 x 3 x 3 x 44 x 461 x 45 x 161 = 2645236440

Therefore, the lowest common multiple of 792,461,405,966 is 2645236440.

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.

792 x 461 x 405 x 966 = 142842767760

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.

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

461 : 1, 461

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,461,405,966, is 1.

Now, the common factors can be found like this.

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

461:461

405:3x 3x 3x 3x 5

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 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 142842767760/(1x54)

LCM = 142842767760/54

LCM = 2645236440

Thus, we can understand that the LCM of 792,461,405,966 is 2645236440.

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

• LCM of 221, 619, 525, 363
• LCM of 494, 110, 880, 205
• LCM of 282, 501, 480, 597
• LCM of 276, 526, 786, 468
• LCM of 717, 668, 508, 215

1. What is the LCM of 792, 461, 405, 966?

Answer: LCM of 792, 461, 405, 966 is 2645236440.

2. How to calculate the LCM of 792, 461, 405, 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 792, 461, 405, 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}.