LCM of 816, 954, 654, 682, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 954, 654, 682, 489 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, 954, 654, 682, 489. So, keep reading to learn more.
Given numbers are 816,954,654,682,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,954,654,682,489 is 786060121968.
Find LCM of 816,954,654,682,489 with Prime Factorization
| 2 | 816, 954, 654, 682, 489 |
| 3 | 408, 477, 327, 341, 489 |
| 136, 159, 109, 341, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 136 x 159 x 109 x 341 x 163 = 786060121968
Therefore, the lowest common multiple of 816,954,654,682,489 is 786060121968.
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 954 x 654 x 682 x 489 = 169788986345088
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
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
654 : 1, 2, 3, 6, 109, 218, 327, 654
682 : 1, 2, 11, 22, 31, 62, 341, 682
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,954,654,682,489, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
954:2x 3x 3x 53
654:2x 3x 109
682:2x 11x 31
489:3x 163
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 169788986345088/(1x216)
LCM = 169788986345088/216
LCM = 786060121968
Thus, we can understand that the LCM of 816,954,654,682,489 is 786060121968.
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FAQs on LCM of 816, 954, 654, 682, 489
1. What is the LCM of 816, 954, 654, 682, 489?
Answer: LCM of 816, 954, 654, 682, 489 is 786060121968.
2. How to calculate the LCM of 816, 954, 654, 682, 489?
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, 954, 654, 682, 489.
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}.