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LCM of 589, 551, 194, 247

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 589, 551, 194, 247 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 589, 551, 194, 247. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 589,551,194,247

Given numbers are 589,551,194,247

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

The LCM of 589,551,194,247 is 43078282.

Find LCM of 589,551,194,247 with Prime Factorization


19 589, 551, 194, 247
31, 29, 194, 13

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

19 x 31 x 29 x 194 x 13 = 43078282

Therefore, the lowest common multiple of 589,551,194,247 is 43078282.

LCM Formula to Find Lowest Common Multiple of 589,551,194,247

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 551 x 194 x 247 = 15551259802

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

551 : 1, 19, 29, 551

194 : 1, 2, 97, 194

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,551,194,247, is 1.

Now, the common factors can be found like this.

589:19x 31

551:19x 29

194:2x 97

247:13x 19

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

19x 19 = 361

Therefore, the value for common factors is 361.

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 = 15551259802/(1x361)

LCM = 15551259802/361

LCM = 43078282

Thus, we can understand that the LCM of 589,551,194,247 is 43078282.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 589, 551, 194, 247

1. What is the LCM of 589, 551, 194, 247?

Answer: LCM of 589, 551, 194, 247 is 43078282.

2. How to calculate the LCM of 589, 551, 194, 247?

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, 551, 194, 247.

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}.