Given numbers are 906,22,112

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

The LCM of 906,22,112 is 558096.

Find LCM of 906,22,112 with Prime Factorization

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

2 x 453 x 11 x 56 = 558096

Therefore, the lowest common multiple of 906,22,112 is 558096.

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 22 x 112 = 2232384

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

22 : 1, 2, 11, 22

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,22,112, is 2.

Now, the common factors can be found like this.

906:2x 3x 151

22:2x 11

112:2x 2x 2x 2x 7

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 = 2232384/(2x2)

LCM = 2232384/4

LCM = 558096

Thus, we can understand that the LCM of 906,22,112 is 558096.

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

• LCM of 272, 26, 587
• LCM of 479, 73, 933
• LCM of 769, 98, 324
• LCM of 740, 67, 386
• LCM of 117, 39, 651

1. What is the LCM of 906, 22, 112?

Answer: LCM of 906, 22, 112 is 558096.

2. How to calculate the LCM of 906, 22, 112?

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, 22, 112.

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}.