Given numbers are 6872,1146

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

The LCM of 6872,1146 is 3937656.

Find LCM of 6872,1146 with Prime Factorization

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

2 x 3436 x 573 = 3937656

Therefore, the lowest common multiple of 6872,1146 is 3937656.

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.

6872 x 1146 = 7875312

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.

6872 : 1, 2, 4, 8, 859, 1718, 3436, 6872

1146 : 1, 2, 3, 6, 191, 382, 573, 1146

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6872,1146, is 2.

Now, the common factors can be found like this.

6872:2x 2x 2x 859

1146:2x 3x 191

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

= 1

Therefore, the value for common factors is 1.

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 = 7875312/(2x1)

LCM = 7875312/2

LCM = 3937656

Thus, we can understand that the LCM of 6872,1146 is 3937656.

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

• LCM of 6300, 7838
• LCM of 5447, 1592
• LCM of 5074, 2809
• LCM of 6865, 8762
• LCM of 4853, 6569

1. What is the LCM of 6872, 1146?

Answer: LCM of 6872, 1146 is 3937656.

2. How to calculate the LCM of 6872, 1146?

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 6872, 1146.

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}.