Given numbers are 682,654,302,408

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

The LCM of 682,654,302,408 is 2289907752.

Find LCM of 682,654,302,408 with Prime Factorization

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

2 x 3 x 341 x 109 x 151 x 68 = 2289907752

Therefore, the lowest common multiple of 682,654,302,408 is 2289907752.

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.

682 x 654 x 302 x 408 = 54957786048

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

654 : 1, 2, 3, 6, 109, 218, 327, 654

302 : 1, 2, 151, 302

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,654,302,408, is 2.

Now, the common factors can be found like this.

682:2x 11x 31

654:2x 3x 109

302:2x 151

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 3 = 12

Therefore, the value for common factors is 12.

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 = 54957786048/(2x12)

LCM = 54957786048/24

LCM = 2289907752

Thus, we can understand that the LCM of 682,654,302,408 is 2289907752.

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

• LCM of 484, 842, 834, 789
• LCM of 895, 359, 316, 123
• LCM of 374, 151, 310, 795
• LCM of 800, 488, 444, 290
• LCM of 508, 611, 190, 694

1. What is the LCM of 682, 654, 302, 408?

Answer: LCM of 682, 654, 302, 408 is 2289907752.

2. How to calculate the LCM of 682, 654, 302, 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 682, 654, 302, 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}.