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LCM of 797, 403, 391, 217

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


Find the LCM of 797, 403, 391, 217 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 797, 403, 391, 217. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 797,403,391,217

Given numbers are 797,403,391,217

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

The LCM of 797,403,391,217 is 879099767.

Find LCM of 797,403,391,217 with Prime Factorization


31 797, 403, 391, 217
797, 13, 391, 7

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

31 x 797 x 13 x 391 x 7 = 879099767

Therefore, the lowest common multiple of 797,403,391,217 is 879099767.

LCM Formula to Find Lowest Common Multiple of 797,403,391,217

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.

797 x 403 x 391 x 217 = 27252092777

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.

797 : 1, 797

403 : 1, 13, 31, 403

391 : 1, 17, 23, 391

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,403,391,217, is 1.

Now, the common factors can be found like this.

797:797

403:13x 31

391:17x 23

217:7x 31

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

31 = 31

Therefore, the value for common factors is 31.

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 = 27252092777/(1x31)

LCM = 27252092777/31

LCM = 879099767

Thus, we can understand that the LCM of 797,403,391,217 is 879099767.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 797, 403, 391, 217

1. What is the LCM of 797, 403, 391, 217?

Answer: LCM of 797, 403, 391, 217 is 879099767.

2. How to calculate the LCM of 797, 403, 391, 217?

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 797, 403, 391, 217.

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}.