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LCM of 849, 668, 589, 554

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


Find the LCM of 849, 668, 589, 554 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 849, 668, 589, 554. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 849,668,589,554

Given numbers are 849,668,589,554

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

The LCM of 849,668,589,554 is 92529287196.

Find LCM of 849,668,589,554 with Prime Factorization


2 849, 668, 589, 554
849, 334, 589, 277

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

2 x 849 x 334 x 589 x 277 = 92529287196

Therefore, the lowest common multiple of 849,668,589,554 is 92529287196.

LCM Formula to Find Lowest Common Multiple of 849,668,589,554

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.

849 x 668 x 589 x 554 = 185058574392

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.

849 : 1, 3, 283, 849

668 : 1, 2, 4, 167, 334, 668

589 : 1, 19, 31, 589

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,668,589,554, is 1.

Now, the common factors can be found like this.

849:3x 283

668:2x 2x 167

589:19x 31

554:2x 277

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

2 = 2

Therefore, the value for common factors is 2.

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 = 185058574392/(1x2)

LCM = 185058574392/2

LCM = 92529287196

Thus, we can understand that the LCM of 849,668,589,554 is 92529287196.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 849, 668, 589, 554

1. What is the LCM of 849, 668, 589, 554?

Answer: LCM of 849, 668, 589, 554 is 92529287196.

2. How to calculate the LCM of 849, 668, 589, 554?

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 849, 668, 589, 554.

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}.