Given numbers are 834,604,214,735,226

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

The LCM of 834,604,214,735,226 is 746107317060.

Find LCM of 834,604,214,735,226 with Prime Factorization

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

2 x 3 x 139 x 302 x 107 x 245 x 113 = 746107317060

Therefore, the lowest common multiple of 834,604,214,735,226 is 746107317060.

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 604 x 214 x 735 x 226 = 17906575609440

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

604 : 1, 2, 4, 151, 302, 604

214 : 1, 2, 107, 214

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

226 : 1, 2, 113, 226

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,604,214,735,226, is 1.

Now, the common factors can be found like this.

834:2x 3x 139

604:2x 2x 151

214:2x 107

735:3x 5x 7x 7

226:2x 113

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 = 17906575609440/(1x24)

LCM = 17906575609440/24

LCM = 746107317060

Thus, we can understand that the LCM of 834,604,214,735,226 is 746107317060.

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

• LCM of 850, 982, 612, 488, 843
• LCM of 244, 353, 970, 833, 494
• LCM of 327, 463, 620, 834, 870
• LCM of 901, 264, 904, 333, 747
• LCM of 856, 673, 384, 183, 983

1. What is the LCM of 834, 604, 214, 735, 226?

Answer: LCM of 834, 604, 214, 735, 226 is 746107317060.

2. How to calculate the LCM of 834, 604, 214, 735, 226?

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, 604, 214, 735, 226.

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}.