Given numbers are 813,15,112

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

The LCM of 813,15,112 is 455280.

Find LCM of 813,15,112 with Prime Factorization

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

3 x 271 x 5 x 112 = 455280

Therefore, the lowest common multiple of 813,15,112 is 455280.

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.

813 x 15 x 112 = 1365840

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.

813 : 1, 3, 271, 813

15 : 1, 3, 5, 15

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,15,112, is 1.

Now, the common factors can be found like this.

813:3x 271

15:3x 5

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 1365840/(1x3)

LCM = 1365840/3

LCM = 455280

Thus, we can understand that the LCM of 813,15,112 is 455280.

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

• LCM of 450, 75, 546
• LCM of 427, 72, 757
• LCM of 306, 22, 765
• LCM of 331, 19, 848
• LCM of 902, 58, 752

1. What is the LCM of 813, 15, 112?

Answer: LCM of 813, 15, 112 is 455280.

2. How to calculate the LCM of 813, 15, 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 813, 15, 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}.