Given numbers are 226,574,414

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

The LCM of 226,574,414 is 13426434.

Find LCM of 226,574,414 with Prime Factorization

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

2 x 113 x 287 x 207 = 13426434

Therefore, the lowest common multiple of 226,574,414 is 13426434.

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 574 x 414 = 53705736

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

574 : 1, 2, 7, 14, 41, 82, 287, 574

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,574,414, is 2.

Now, the common factors can be found like this.

226:2x 113

574:2x 7x 41

414:2x 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.

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 = 53705736/(2x2)

LCM = 53705736/4

LCM = 13426434

Thus, we can understand that the LCM of 226,574,414 is 13426434.

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

• LCM of 264, 801, 910
• LCM of 508, 141, 936
• LCM of 340, 652, 578
• LCM of 307, 482, 158
• LCM of 432, 454, 350

1. What is the LCM of 226, 574, 414?

Answer: LCM of 226, 574, 414 is 13426434.

2. How to calculate the LCM of 226, 574, 414?

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, 574, 414.

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}.