Given numbers are 226,828,313,413

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

The LCM of 226,828,313,413 is 12094924716.

Find LCM of 226,828,313,413 with Prime Factorization

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

2 x 113 x 414 x 313 x 413 = 12094924716

Therefore, the lowest common multiple of 226,828,313,413 is 12094924716.

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 828 x 313 x 413 = 24189849432

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

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

313 : 1, 313

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,828,313,413, is 1.

Now, the common factors can be found like this.

226:2x 113

828:2x 2x 3x 3x 23

313:313

413:7x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 24189849432/(1x2)

LCM = 24189849432/2

LCM = 12094924716

Thus, we can understand that the LCM of 226,828,313,413 is 12094924716.

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

• LCM of 890, 876, 858, 965
• LCM of 415, 214, 931, 415
• LCM of 554, 424, 834, 310
• LCM of 961, 660, 318, 944
• LCM of 160, 611, 606, 462

1. What is the LCM of 226, 828, 313, 413?

Answer: LCM of 226, 828, 313, 413 is 12094924716.

2. How to calculate the LCM of 226, 828, 313, 413?

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, 828, 313, 413.

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}.