Given numbers are 589,519,228,171

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

The LCM of 589,519,228,171 is 3668292.

Find LCM of 589,519,228,171 with Prime Factorization

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

3 x 19 x 31 x 173 x 4 x 3 = 3668292

Therefore, the lowest common multiple of 589,519,228,171 is 3668292.

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 519 x 228 x 171 = 11918280708

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

519 : 1, 3, 173, 519

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,519,228,171, is 1.

Now, the common factors can be found like this.

589:19x 31

519:3x 173

228:2x 2x 3x 19

171:3x 3x 19

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

3x 3x 19x 19 = 3249

Therefore, the value for common factors is 3249.

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 = 11918280708/(1x3249)

LCM = 11918280708/3249

LCM = 3668292

Thus, we can understand that the LCM of 589,519,228,171 is 3668292.

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

• LCM of 928, 184, 857, 163
• LCM of 364, 212, 775, 324
• LCM of 919, 820, 264, 312
• LCM of 131, 150, 460, 508
• LCM of 500, 628, 270, 196

1. What is the LCM of 589, 519, 228, 171?

Answer: LCM of 589, 519, 228, 171 is 3668292.

2. How to calculate the LCM of 589, 519, 228, 171?

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, 519, 228, 171.

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}.