Given numbers are 9684,3561

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

The LCM of 9684,3561 is 11494908.

Find LCM of 9684,3561 with Prime Factorization

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

3 x 3228 x 1187 = 11494908

Therefore, the lowest common multiple of 9684,3561 is 11494908.

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.

9684 x 3561 = 34484724

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.

9684 : 1, 2, 3, 4, 6, 9, 12, 18, 36, 269, 538, 807, 1076, 1614, 2421, 3228, 4842, 9684

3561 : 1, 3, 1187, 3561

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9684,3561, is 3.

Now, the common factors can be found like this.

9684:2x 2x 3x 3x 269

3561:3x 1187

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 = 34484724/(3x1)

LCM = 34484724/3

LCM = 11494908

Thus, we can understand that the LCM of 9684,3561 is 11494908.

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

• LCM of 4108, 8971
• LCM of 9421, 5701
• LCM of 1158, 1351
• LCM of 2261, 5435
• LCM of 5788, 9941

1. What is the LCM of 9684, 3561?

Answer: LCM of 9684, 3561 is 11494908.

2. How to calculate the LCM of 9684, 3561?

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 9684, 3561.

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}.