Given numbers are 51,31,589

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

The LCM of 51,31,589 is 30039.

Find LCM of 51,31,589 with Prime Factorization

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

31 x 51 x 1 x 19 = 30039

Therefore, the lowest common multiple of 51,31,589 is 30039.

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.

51 x 31 x 589 = 931209

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.

51 : 1, 3, 17, 51

31 : 1, 31

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 51,31,589, is 1.

Now, the common factors can be found like this.

51:3x 17

31:31

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.

31 = 31

Therefore, the value for common factors is 31.

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 = 931209/(1x31)

LCM = 931209/31

LCM = 30039

Thus, we can understand that the LCM of 51,31,589 is 30039.

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

• LCM of 43, 87, 291
• LCM of 57, 93, 965
• LCM of 21, 36, 625
• LCM of 41, 11, 662
• LCM of 55, 31, 261

1. What is the LCM of 51, 31, 589?

Answer: LCM of 51, 31, 589 is 30039.

2. How to calculate the LCM of 51, 31, 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 51, 31, 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}.