Given numbers are 589,11,440

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

The LCM of 589,11,440 is 259160.

Find LCM of 589,11,440 with Prime Factorization

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

11 x 589 x 1 x 40 = 259160

Therefore, the lowest common multiple of 589,11,440 is 259160.

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.

589 x 11 x 440 = 2850760

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.

589 : 1, 19, 31, 589

11 : 1, 11

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,11,440, is 1.

Now, the common factors can be found like this.

589:19x 31

11:11

440:2x 2x 2x 5x 11

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

11 = 11

Therefore, the value for common factors is 11.

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 = 2850760/(1x11)

LCM = 2850760/11

LCM = 259160

Thus, we can understand that the LCM of 589,11,440 is 259160.

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

• LCM of 279, 10, 258
• LCM of 109, 58, 858
• LCM of 962, 79, 529
• LCM of 641, 57, 664
• LCM of 754, 35, 779

1. What is the LCM of 589, 11, 440?

Answer: LCM of 589, 11, 440 is 259160.

2. How to calculate the LCM of 589, 11, 440?

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 589, 11, 440.

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}.