Given numbers are 792,957,295,966,391

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

The LCM of 792,957,295,966,391 is 18544707720.

Find LCM of 792,957,295,966,391 with Prime Factorization

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

2 x 3 x 11 x 23 x 12 x 29 x 295 x 7 x 17 = 18544707720

Therefore, the lowest common multiple of 792,957,295,966,391 is 18544707720.

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 957 x 295 x 966 x 391 = 84452598956880

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

957 : 1, 3, 11, 29, 33, 87, 319, 957

295 : 1, 5, 59, 295

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

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,957,295,966,391, is 1.

Now, the common factors can be found like this.

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

957:3x 11x 29

295:5x 59

966:2x 3x 7x 23

391:17x 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 11x 23 = 4554

Therefore, the value for common factors is 4554.

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 = 84452598956880/(1x4554)

LCM = 84452598956880/4554

LCM = 18544707720

Thus, we can understand that the LCM of 792,957,295,966,391 is 18544707720.

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

• LCM of 229, 214, 630, 465, 804
• LCM of 553, 859, 693, 498, 975
• LCM of 909, 261, 785, 753, 610
• LCM of 378, 949, 145, 630, 661
• LCM of 865, 764, 477, 965, 379

1. What is the LCM of 792, 957, 295, 966, 391?

Answer: LCM of 792, 957, 295, 966, 391 is 18544707720.

2. How to calculate the LCM of 792, 957, 295, 966, 391?

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, 957, 295, 966, 391.

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}.