Given numbers are 2271,8688

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

The LCM of 2271,8688 is 6576816.

Find LCM of 2271,8688 with Prime Factorization

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

3 x 757 x 2896 = 6576816

Therefore, the lowest common multiple of 2271,8688 is 6576816.

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.

2271 x 8688 = 19730448

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.

2271 : 1, 3, 757, 2271

8688 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 8688

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2271,8688, is 3.

Now, the common factors can be found like this.

2271:3x 757

8688:2x 2x 2x 2x 3x 181

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 = 19730448/(3x1)

LCM = 19730448/3

LCM = 6576816

Thus, we can understand that the LCM of 2271,8688 is 6576816.

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

• LCM of 5676, 3962
• LCM of 4396, 5663
• LCM of 6948, 1186
• LCM of 5608, 5559
• LCM of 9464, 2479

1. What is the LCM of 2271, 8688?

Answer: LCM of 2271, 8688 is 6576816.

2. How to calculate the LCM of 2271, 8688?

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 2271, 8688.

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}.