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LCM of 398, 327, 327, 169

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


Find the LCM of 398, 327, 327, 169 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 398, 327, 327, 169. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 398,327,327,169

Given numbers are 398,327,327,169

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

The LCM of 398,327,327,169 is 21994674.

Find LCM of 398,327,327,169 with Prime Factorization


3 398, 327, 327, 169
109 398, 109, 109, 169
398, 1, 1, 169

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

3 x 109 x 398 x 1 x 1 x 169 = 21994674

Therefore, the lowest common multiple of 398,327,327,169 is 21994674.

LCM Formula to Find Lowest Common Multiple of 398,327,327,169

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.

398 x 327 x 327 x 169 = 7192258398

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.

398 : 1, 2, 199, 398

327 : 1, 3, 109, 327

327 : 1, 3, 109, 327

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,327,327,169, is 1.

Now, the common factors can be found like this.

398:2x 199

327:3x 109

327:3x 109

169:13x 13

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

3x 109 = 327

Therefore, the value for common factors is 327.

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 = 7192258398/(1x327)

LCM = 7192258398/327

LCM = 21994674

Thus, we can understand that the LCM of 398,327,327,169 is 21994674.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 398, 327, 327, 169

1. What is the LCM of 398, 327, 327, 169?

Answer: LCM of 398, 327, 327, 169 is 21994674.

2. How to calculate the LCM of 398, 327, 327, 169?

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 398, 327, 327, 169.

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}.