LCM of 809, 209, 164, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 209, 164, 988 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 809, 209, 164, 988. So, keep reading to learn more.
Given numbers are 809,209,164,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,209,164,988 is 360480692.
Find LCM of 809,209,164,988 with Prime Factorization
| 2 | 809, 209, 164, 988 |
| 2 | 809, 209, 82, 494 |
| 19 | 809, 209, 41, 247 |
| 809, 11, 41, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 809 x 11 x 41 x 13 = 360480692
Therefore, the lowest common multiple of 809,209,164,988 is 360480692.
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.
809 x 209 x 164 x 988 = 27396532592
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.
809 : 1, 809
209 : 1, 11, 19, 209
164 : 1, 2, 4, 41, 82, 164
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,209,164,988, is 1.
Now, the common factors can be found like this.
809:809
209:11x 19
164:2x 2x 41
988:2x 2x 13x 19
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 19 = 76
Therefore, the value for common factors is 76.
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 = 27396532592/(1x76)
LCM = 27396532592/76
LCM = 360480692
Thus, we can understand that the LCM of 809,209,164,988 is 360480692.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 809, 209, 164, 988
1. What is the LCM of 809, 209, 164, 988?
Answer: LCM of 809, 209, 164, 988 is 360480692.
2. How to calculate the LCM of 809, 209, 164, 988?
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 809, 209, 164, 988.
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}.