LCM of 816, 682, 978, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 682, 978, 209 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 816, 682, 978, 209. So, keep reading to learn more.
Given numbers are 816,682,978,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,682,978,209 is 861758832.
Find LCM of 816,682,978,209 with Prime Factorization
| 2 | 816, 682, 978, 209 |
| 3 | 408, 341, 489, 209 |
| 11 | 136, 341, 163, 209 |
| 136, 31, 163, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 136 x 31 x 163 x 19 = 861758832
Therefore, the lowest common multiple of 816,682,978,209 is 861758832.
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.
816 x 682 x 978 x 209 = 113752165824
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
682 : 1, 2, 11, 22, 31, 62, 341, 682
978 : 1, 2, 3, 6, 163, 326, 489, 978
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,682,978,209, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
682:2x 11x 31
978:2x 3x 163
209:11x 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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 113752165824/(1x132)
LCM = 113752165824/132
LCM = 861758832
Thus, we can understand that the LCM of 816,682,978,209 is 861758832.
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FAQs on LCM of 816, 682, 978, 209
1. What is the LCM of 816, 682, 978, 209?
Answer: LCM of 816, 682, 978, 209 is 861758832.
2. How to calculate the LCM of 816, 682, 978, 209?
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 816, 682, 978, 209.
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}.