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LCM of 188, 589, 398, 454

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


Find the LCM of 188, 589, 398, 454 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 188, 589, 398, 454. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 188,589,398,454

Given numbers are 188,589,398,454

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

The LCM of 188,589,398,454 is 5002096636.

Find LCM of 188,589,398,454 with Prime Factorization


2 188, 589, 398, 454
94, 589, 199, 227

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

2 x 94 x 589 x 199 x 227 = 5002096636

Therefore, the lowest common multiple of 188,589,398,454 is 5002096636.

LCM Formula to Find Lowest Common Multiple of 188,589,398,454

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.

188 x 589 x 398 x 454 = 20008386544

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.

188 : 1, 2, 4, 47, 94, 188

589 : 1, 19, 31, 589

398 : 1, 2, 199, 398

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,589,398,454, is 1.

Now, the common factors can be found like this.

188:2x 2x 47

589:19x 31

398:2x 199

454:2x 227

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 20008386544/(1x4)

LCM = 20008386544/4

LCM = 5002096636

Thus, we can understand that the LCM of 188,589,398,454 is 5002096636.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 188, 589, 398, 454

1. What is the LCM of 188, 589, 398, 454?

Answer: LCM of 188, 589, 398, 454 is 5002096636.

2. How to calculate the LCM of 188, 589, 398, 454?

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 188, 589, 398, 454.

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}.