Given numbers are 834,486,836,554,214

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

The LCM of 834,486,836,554,214 is 836933396508.

Find LCM of 834,486,836,554,214 with Prime Factorization

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

2 x 3 x 139 x 81 x 418 x 277 x 107 = 836933396508

Therefore, the lowest common multiple of 834,486,836,554,214 is 836933396508.

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.

834 x 486 x 836 x 554 x 214 = 40172803032384

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.

834 : 1, 2, 3, 6, 139, 278, 417, 834

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

554 : 1, 2, 277, 554

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,486,836,554,214, is 2.

Now, the common factors can be found like this.

834:2x 3x 139

486:2x 3x 3x 3x 3x 3

836:2x 2x 11x 19

554:2x 277

214:2x 107

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 3 = 24

Therefore, the value for common factors is 24.

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 = 40172803032384/(2x24)

LCM = 40172803032384/48

LCM = 836933396508

Thus, we can understand that the LCM of 834,486,836,554,214 is 836933396508.

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

• LCM of 101, 323, 636, 960, 986
• LCM of 512, 212, 956, 654, 476
• LCM of 231, 225, 625, 923, 427
• LCM of 447, 348, 895, 311, 691
• LCM of 922, 148, 536, 600, 556

1. What is the LCM of 834, 486, 836, 554, 214?

Answer: LCM of 834, 486, 836, 554, 214 is 836933396508.

2. How to calculate the LCM of 834, 486, 836, 554, 214?

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 834, 486, 836, 554, 214.

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}.