Given numbers are 906,34,428

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

The LCM of 906,34,428 is 3296028.

Find LCM of 906,34,428 with Prime Factorization

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

2 x 453 x 17 x 214 = 3296028

Therefore, the lowest common multiple of 906,34,428 is 3296028.

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.

906 x 34 x 428 = 13184112

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.

906 : 1, 2, 3, 6, 151, 302, 453, 906

34 : 1, 2, 17, 34

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,34,428, is 2.

Now, the common factors can be found like this.

906:2x 3x 151

34:2x 17

428:2x 2x 107

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 = 13184112/(2x2)

LCM = 13184112/4

LCM = 3296028

Thus, we can understand that the LCM of 906,34,428 is 3296028.

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

• LCM of 554, 84, 100
• LCM of 209, 26, 891
• LCM of 663, 66, 497
• LCM of 767, 32, 276
• LCM of 127, 36, 395

1. What is the LCM of 906, 34, 428?

Answer: LCM of 906, 34, 428 is 3296028.

2. How to calculate the LCM of 906, 34, 428?

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 906, 34, 428.

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}.