Given numbers are 428,107,422

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

The LCM of 428,107,422 is 90308.

Find LCM of 428,107,422 with Prime Factorization

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

2 x 107 x 2 x 1 x 211 = 90308

Therefore, the lowest common multiple of 428,107,422 is 90308.

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 107 x 422 = 19325912

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

107 : 1, 107

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,107,422, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

107:107

422:2x 211

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 19325912/(1x214)

LCM = 19325912/214

LCM = 90308

Thus, we can understand that the LCM of 428,107,422 is 90308.

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

• LCM of 704, 410, 249
• LCM of 364, 877, 325
• LCM of 622, 929, 256
• LCM of 697, 307, 916
• LCM of 865, 339, 715

1. What is the LCM of 428, 107, 422?

Answer: LCM of 428, 107, 422 is 90308.

2. How to calculate the LCM of 428, 107, 422?

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, 107, 422.

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}.