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LCM of 291, 897, 718, 792, 691

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


Find the LCM of 291, 897, 718, 792, 691 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 291, 897, 718, 792, 691. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 291,897,718,792,691

Given numbers are 291,897,718,792,691

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

The LCM of 291,897,718,792,691 is 5698238203944.

Find LCM of 291,897,718,792,691 with Prime Factorization


2 291, 897, 718, 792, 691
3 291, 897, 359, 396, 691
97, 299, 359, 132, 691

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

2 x 3 x 97 x 299 x 359 x 132 x 691 = 5698238203944

Therefore, the lowest common multiple of 291,897,718,792,691 is 5698238203944.

LCM Formula to Find Lowest Common Multiple of 291,897,718,792,691

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.

291 x 897 x 718 x 792 x 691 = 102568287670992

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.

291 : 1, 3, 97, 291

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

718 : 1, 2, 359, 718

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

691 : 1, 691

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,897,718,792,691, is 1.

Now, the common factors can be found like this.

291:3x 97

897:3x 13x 23

718:2x 359

792:2x 2x 2x 3x 3x 11

691:691

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 102568287670992/(1x18)

LCM = 102568287670992/18

LCM = 5698238203944

Thus, we can understand that the LCM of 291,897,718,792,691 is 5698238203944.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 291, 897, 718, 792, 691

1. What is the LCM of 291, 897, 718, 792, 691?

Answer: LCM of 291, 897, 718, 792, 691 is 5698238203944.

2. How to calculate the LCM of 291, 897, 718, 792, 691?

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 291, 897, 718, 792, 691.

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}.