Given numbers are 791,412,306,394,458

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

The LCM of 791,412,306,394,458 is 2249400766788.

Find LCM of 791,412,306,394,458 with Prime Factorization

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

2 x 791 x 206 x 153 x 197 x 229 = 2249400766788

Therefore, the lowest common multiple of 791,412,306,394,458 is 2249400766788.

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 412 x 306 x 394 x 458 = 17995206134304

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

412 : 1, 2, 4, 103, 206, 412

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

394 : 1, 2, 197, 394

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,412,306,394,458, is 1.

Now, the common factors can be found like this.

791:7x 113

412:2x 2x 103

306:2x 3x 3x 17

394:2x 197

458:2x 229

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 2 = 8

Therefore, the value for common factors is 8.

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 = 17995206134304/(1x8)

LCM = 17995206134304/8

LCM = 2249400766788

Thus, we can understand that the LCM of 791,412,306,394,458 is 2249400766788.

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

• LCM of 342, 190, 318, 580, 279
• LCM of 417, 910, 464, 712, 561
• LCM of 347, 939, 102, 665, 421
• LCM of 563, 483, 950, 774, 578
• LCM of 714, 820, 452, 938, 536

1. What is the LCM of 791, 412, 306, 394, 458?

Answer: LCM of 791, 412, 306, 394, 458 is 2249400766788.

2. How to calculate the LCM of 791, 412, 306, 394, 458?

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, 412, 306, 394, 458.

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}.