Given numbers are 791,184,792,377,408

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

The LCM of 791,184,792,377,408 is 92346358104.

Find LCM of 791,184,792,377,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 791 x 23 x 33 x 377 x 17 = 92346358104

Therefore, the lowest common multiple of 791,184,792,377,408 is 92346358104.

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.

791 x 184 x 792 x 377 x 408 = 17730500755968

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.

791 : 1, 7, 113, 791

184 : 1, 2, 4, 8, 23, 46, 92, 184

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

377 : 1, 13, 29, 377

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,184,792,377,408, is 1.

Now, the common factors can be found like this.

791:7x 113

184:2x 2x 2x 23

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

377:13x 29

408:2x 2x 2x 3x 17

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 3 = 192

Therefore, the value for common factors is 192.

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 = 17730500755968/(1x192)

LCM = 17730500755968/192

LCM = 92346358104

Thus, we can understand that the LCM of 791,184,792,377,408 is 92346358104.

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

• LCM of 535, 344, 740, 229, 224
• LCM of 379, 984, 212, 496, 322
• LCM of 543, 895, 810, 730, 307
• LCM of 513, 903, 825, 551, 474
• LCM of 908, 377, 630, 566, 181

1. What is the LCM of 791, 184, 792, 377, 408?

Answer: LCM of 791, 184, 792, 377, 408 is 92346358104.

2. How to calculate the LCM of 791, 184, 792, 377, 408?

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 791, 184, 792, 377, 408.

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}.