Given numbers are 608,214,864,682

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

The LCM of 608,214,864,682 is 598970592.

Find LCM of 608,214,864,682 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 19 x 107 x 27 x 341 = 598970592

Therefore, the lowest common multiple of 608,214,864,682 is 598970592.

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.

608 x 214 x 864 x 682 = 76668235776

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

214 : 1, 2, 107, 214

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,214,864,682, is 2.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

214:2x 107

864:2x 2x 2x 2x 2x 3x 3x 3

682:2x 11x 31

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 2 = 64

Therefore, the value for common factors is 64.

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 = 76668235776/(2x64)

LCM = 76668235776/128

LCM = 598970592

Thus, we can understand that the LCM of 608,214,864,682 is 598970592.

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

• LCM of 722, 824, 114, 965
• LCM of 333, 165, 125, 513
• LCM of 574, 875, 110, 953
• LCM of 131, 694, 715, 806
• LCM of 525, 235, 183, 457

1. What is the LCM of 608, 214, 864, 682?

Answer: LCM of 608, 214, 864, 682 is 598970592.

2. How to calculate the LCM of 608, 214, 864, 682?

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 608, 214, 864, 682.

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}.