Given numbers are 565,22,412

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

The LCM of 565,22,412 is 2560580.

Find LCM of 565,22,412 with Prime Factorization

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

2 x 565 x 11 x 206 = 2560580

Therefore, the lowest common multiple of 565,22,412 is 2560580.

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.

565 x 22 x 412 = 5121160

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.

565 : 1, 5, 113, 565

22 : 1, 2, 11, 22

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,22,412, is 1.

Now, the common factors can be found like this.

565:5x 113

22:2x 11

412:2x 2x 103

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 = 5121160/(1x2)

LCM = 5121160/2

LCM = 2560580

Thus, we can understand that the LCM of 565,22,412 is 2560580.

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

• LCM of 650, 70, 226
• LCM of 578, 23, 477
• LCM of 668, 97, 791
• LCM of 909, 85, 381
• LCM of 765, 38, 714

1. What is the LCM of 565, 22, 412?

Answer: LCM of 565, 22, 412 is 2560580.

2. How to calculate the LCM of 565, 22, 412?

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 565, 22, 412.

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}.