Given numbers are 226,113,114

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

The LCM of 226,113,114 is 12882.

Find LCM of 226,113,114 with Prime Factorization

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

2 x 113 x 1 x 1 x 57 = 12882

Therefore, the lowest common multiple of 226,113,114 is 12882.

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 113 x 114 = 2911332

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

113 : 1, 113

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,113,114, is 1.

Now, the common factors can be found like this.

226:2x 113

113:113

114:2x 3x 19

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

2x 113 = 226

Therefore, the value for common factors is 226.

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 = 2911332/(1x226)

LCM = 2911332/226

LCM = 12882

Thus, we can understand that the LCM of 226,113,114 is 12882.

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

• LCM of 468, 235, 507
• LCM of 653, 593, 967
• LCM of 846, 246, 386
• LCM of 877, 113, 571
• LCM of 270, 805, 662

1. What is the LCM of 226, 113, 114?

Answer: LCM of 226, 113, 114 is 12882.

2. How to calculate the LCM of 226, 113, 114?

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, 113, 114.

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}.