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LCM of 197, 466, 169, 584

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


Find the LCM of 197, 466, 169, 584 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 197, 466, 169, 584. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 197,466,169,584

Given numbers are 197,466,169,584

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

The LCM of 197,466,169,584 is 4530245096.

Find LCM of 197,466,169,584 with Prime Factorization


2 197, 466, 169, 584
197, 233, 169, 292

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

2 x 197 x 233 x 169 x 292 = 4530245096

Therefore, the lowest common multiple of 197,466,169,584 is 4530245096.

LCM Formula to Find Lowest Common Multiple of 197,466,169,584

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.

197 x 466 x 169 x 584 = 9060490192

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.

197 : 1, 197

466 : 1, 2, 233, 466

169 : 1, 13, 169

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,466,169,584, is 1.

Now, the common factors can be found like this.

197:197

466:2x 233

169:13x 13

584:2x 2x 2x 73

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 = 9060490192/(1x2)

LCM = 9060490192/2

LCM = 4530245096

Thus, we can understand that the LCM of 197,466,169,584 is 4530245096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 197, 466, 169, 584

1. What is the LCM of 197, 466, 169, 584?

Answer: LCM of 197, 466, 169, 584 is 4530245096.

2. How to calculate the LCM of 197, 466, 169, 584?

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 197, 466, 169, 584.

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}.