Given numbers are 428,451,226

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

The LCM of 428,451,226 is 21812164.

Find LCM of 428,451,226 with Prime Factorization

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

2 x 214 x 451 x 113 = 21812164

Therefore, the lowest common multiple of 428,451,226 is 21812164.

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.

428 x 451 x 226 = 43624328

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.

428 : 1, 2, 4, 107, 214, 428

451 : 1, 11, 41, 451

226 : 1, 2, 113, 226

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,451,226, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

451:11x 41

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.

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 = 43624328/(1x2)

LCM = 43624328/2

LCM = 21812164

Thus, we can understand that the LCM of 428,451,226 is 21812164.

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

• LCM of 201, 420, 733
• LCM of 772, 631, 407
• LCM of 427, 826, 855
• LCM of 175, 147, 480
• LCM of 527, 781, 233

1. What is the LCM of 428, 451, 226?

Answer: LCM of 428, 451, 226 is 21812164.

2. How to calculate the LCM of 428, 451, 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 428, 451, 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}.