Given numbers are 792,869,812,420,161

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

The LCM of 792,869,812,420,161 is 1460649960.

Find LCM of 792,869,812,420,161 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 6 x 79 x 29 x 5 x 23 = 1460649960

Therefore, the lowest common multiple of 792,869,812,420,161 is 1460649960.

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 869 x 812 x 420 x 161 = 37789935765120

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

869 : 1, 11, 79, 869

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

161 : 1, 7, 23, 161

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,869,812,420,161, is 1.

Now, the common factors can be found like this.

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

869:11x 79

812:2x 2x 7x 29

420:2x 2x 3x 5x 7

161:7x 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 2x 3x 7x 7x 11 = 25872

Therefore, the value for common factors is 25872.

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 = 37789935765120/(1x25872)

LCM = 37789935765120/25872

LCM = 1460649960

Thus, we can understand that the LCM of 792,869,812,420,161 is 1460649960.

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

• LCM of 458, 499, 841, 342, 991
• LCM of 989, 463, 151, 234, 291
• LCM of 612, 540, 825, 503, 285
• LCM of 761, 190, 684, 831, 915
• LCM of 177, 434, 298, 521, 347

1. What is the LCM of 792, 869, 812, 420, 161?

Answer: LCM of 792, 869, 812, 420, 161 is 1460649960.

2. How to calculate the LCM of 792, 869, 812, 420, 161?

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, 869, 812, 420, 161.

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}.