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LCM of 217, 161, 618, 327

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


Find the LCM of 217, 161, 618, 327 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 217, 161, 618, 327. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 217,161,618,327

Given numbers are 217,161,618,327

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

The LCM of 217,161,618,327 is 336203742.

Find LCM of 217,161,618,327 with Prime Factorization


3 217, 161, 618, 327
7 217, 161, 206, 109
31, 23, 206, 109

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

3 x 7 x 31 x 23 x 206 x 109 = 336203742

Therefore, the lowest common multiple of 217,161,618,327 is 336203742.

LCM Formula to Find Lowest Common Multiple of 217,161,618,327

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.

217 x 161 x 618 x 327 = 7060278582

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.

217 : 1, 7, 31, 217

161 : 1, 7, 23, 161

618 : 1, 2, 3, 6, 103, 206, 309, 618

327 : 1, 3, 109, 327

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,161,618,327, is 1.

Now, the common factors can be found like this.

217:7x 31

161:7x 23

618:2x 3x 103

327:3x 109

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

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 7060278582/(1x21)

LCM = 7060278582/21

LCM = 336203742

Thus, we can understand that the LCM of 217,161,618,327 is 336203742.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 217, 161, 618, 327

1. What is the LCM of 217, 161, 618, 327?

Answer: LCM of 217, 161, 618, 327 is 336203742.

2. How to calculate the LCM of 217, 161, 618, 327?

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 217, 161, 618, 327.

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}.