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LCM of 521, 957, 897, 978, 161

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


Find the LCM of 521, 957, 897, 978, 161 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 521, 957, 897, 978, 161. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 521,957,897,978,161

Given numbers are 521,957,897,978,161

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

The LCM of 521,957,897,978,161 is 340201707846.

Find LCM of 521,957,897,978,161 with Prime Factorization


3 521, 957, 897, 978, 161
23 521, 319, 299, 326, 161
521, 319, 13, 326, 7

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

3 x 23 x 521 x 319 x 13 x 326 x 7 = 340201707846

Therefore, the lowest common multiple of 521,957,897,978,161 is 340201707846.

LCM Formula to Find Lowest Common Multiple of 521,957,897,978,161

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.

521 x 957 x 897 x 978 x 161 = 70421753524122

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.

521 : 1, 521

957 : 1, 3, 11, 29, 33, 87, 319, 957

897 : 1, 3, 13, 23, 39, 69, 299, 897

978 : 1, 2, 3, 6, 163, 326, 489, 978

161 : 1, 7, 23, 161

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,957,897,978,161, is 1.

Now, the common factors can be found like this.

521:521

957:3x 11x 29

897:3x 13x 23

978:2x 3x 163

161:7x 23

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 70421753524122/(1x207)

LCM = 70421753524122/207

LCM = 340201707846

Thus, we can understand that the LCM of 521,957,897,978,161 is 340201707846.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 521, 957, 897, 978, 161

1. What is the LCM of 521, 957, 897, 978, 161?

Answer: LCM of 521, 957, 897, 978, 161 is 340201707846.

2. How to calculate the LCM of 521, 957, 897, 978, 161?

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 521, 957, 897, 978, 161.

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}.