Given numbers are 226,138,944,173,828

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

The LCM of 226,138,944,173,828 is 3820030992.

Find LCM of 226,138,944,173,828 with Prime Factorization

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

2 x 2 x 3 x 23 x 113 x 1 x 236 x 173 x 3 = 3820030992

Therefore, the lowest common multiple of 226,138,944,173,828 is 3820030992.

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.

226 x 138 x 944 x 173 x 828 = 4217314215168

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.

226 : 1, 2, 113, 226

138 : 1, 2, 3, 6, 23, 46, 69, 138

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

173 : 1, 173

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,138,944,173,828, is 1.

Now, the common factors can be found like this.

226:2x 113

138:2x 3x 23

944:2x 2x 2x 2x 59

173:173

828:2x 2x 3x 3x 23

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 3x 23 = 1104

Therefore, the value for common factors is 1104.

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 = 4217314215168/(1x1104)

LCM = 4217314215168/1104

LCM = 3820030992

Thus, we can understand that the LCM of 226,138,944,173,828 is 3820030992.

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

• LCM of 384, 512, 842, 319, 766
• LCM of 351, 758, 403, 266, 234
• LCM of 677, 145, 707, 678, 575
• LCM of 794, 547, 509, 257, 891
• LCM of 457, 293, 910, 648, 738

1. What is the LCM of 226, 138, 944, 173, 828?

Answer: LCM of 226, 138, 944, 173, 828 is 3820030992.

2. How to calculate the LCM of 226, 138, 944, 173, 828?

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 226, 138, 944, 173, 828.

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}.