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LCM of 798, 914, 697, 692, 884

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


Find the LCM of 798, 914, 697, 692, 884 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 798, 914, 697, 692, 884. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 798,914,697,692,884

Given numbers are 798,914,697,692,884

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

The LCM of 798,914,697,692,884 is 1143329266716.

Find LCM of 798,914,697,692,884 with Prime Factorization


2 798, 914, 697, 692, 884
2 399, 457, 697, 346, 442
17 399, 457, 697, 173, 221
399, 457, 41, 173, 13

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

2 x 2 x 17 x 399 x 457 x 41 x 173 x 13 = 1143329266716

Therefore, the lowest common multiple of 798,914,697,692,884 is 1143329266716.

LCM Formula to Find Lowest Common Multiple of 798,914,697,692,884

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.

798 x 914 x 697 x 692 x 884 = 310985560546752

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

914 : 1, 2, 457, 914

697 : 1, 17, 41, 697

692 : 1, 2, 4, 173, 346, 692

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,914,697,692,884, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

914:2x 457

697:17x 41

692:2x 2x 173

884:2x 2x 13x 17

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

2x 2x 2x 2x 17 = 272

Therefore, the value for common factors is 272.

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 = 310985560546752/(1x272)

LCM = 310985560546752/272

LCM = 1143329266716

Thus, we can understand that the LCM of 798,914,697,692,884 is 1143329266716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 798, 914, 697, 692, 884

1. What is the LCM of 798, 914, 697, 692, 884?

Answer: LCM of 798, 914, 697, 692, 884 is 1143329266716.

2. How to calculate the LCM of 798, 914, 697, 692, 884?

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 798, 914, 697, 692, 884.

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}.