Given numbers are 574,68,589

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

The LCM of 574,68,589 is 11494924.

Find LCM of 574,68,589 with Prime Factorization

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

2 x 287 x 34 x 589 = 11494924

Therefore, the lowest common multiple of 574,68,589 is 11494924.

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.

574 x 68 x 589 = 22989848

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

68 : 1, 2, 4, 17, 34, 68

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,68,589, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

68:2x 2x 17

589:19x 31

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 = 22989848/(1x2)

LCM = 22989848/2

LCM = 11494924

Thus, we can understand that the LCM of 574,68,589 is 11494924.

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

• LCM of 119, 88, 109
• LCM of 843, 91, 729
• LCM of 705, 75, 701
• LCM of 156, 46, 495
• LCM of 962, 88, 347

1. What is the LCM of 574, 68, 589?

Answer: LCM of 574, 68, 589 is 11494924.

2. How to calculate the LCM of 574, 68, 589?

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 574, 68, 589.

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}.