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LCM of 849, 367, 988, 406, 998

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


Find the LCM of 849, 367, 988, 406, 998 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 849, 367, 988, 406, 998. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 849,367,988,406,998

Given numbers are 849,367,988,406,998

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

The LCM of 849,367,988,406,998 is 31183674073188.

Find LCM of 849,367,988,406,998 with Prime Factorization


2 849, 367, 988, 406, 998
849, 367, 494, 203, 499

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

2 x 849 x 367 x 494 x 203 x 499 = 31183674073188

Therefore, the lowest common multiple of 849,367,988,406,998 is 31183674073188.

LCM Formula to Find Lowest Common Multiple of 849,367,988,406,998

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.

849 x 367 x 988 x 406 x 998 = 124734696292752

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.

849 : 1, 3, 283, 849

367 : 1, 367

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

406 : 1, 2, 7, 14, 29, 58, 203, 406

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,367,988,406,998, is 1.

Now, the common factors can be found like this.

849:3x 283

367:367

988:2x 2x 13x 19

406:2x 7x 29

998:2x 499

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 124734696292752/(1x4)

LCM = 124734696292752/4

LCM = 31183674073188

Thus, we can understand that the LCM of 849,367,988,406,998 is 31183674073188.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 849, 367, 988, 406, 998

1. What is the LCM of 849, 367, 988, 406, 998?

Answer: LCM of 849, 367, 988, 406, 998 is 31183674073188.

2. How to calculate the LCM of 849, 367, 988, 406, 998?

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 849, 367, 988, 406, 998.

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}.