LCM of 682, 558, 536, 255, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 558, 536, 255, 868 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 682, 558, 536, 255, 868. So, keep reading to learn more.
Given numbers are 682,558,536,255,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,558,536,255,868 is 978765480.
Find LCM of 682,558,536,255,868 with Prime Factorization
| 2 | 682, 558, 536, 255, 868 |
| 2 | 341, 279, 268, 255, 434 |
| 3 | 341, 279, 134, 255, 217 |
| 31 | 341, 93, 134, 85, 217 |
| 11, 3, 134, 85, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 11 x 3 x 134 x 85 x 7 = 978765480
Therefore, the lowest common multiple of 682,558,536,255,868 is 978765480.
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.
682 x 558 x 536 x 255 x 868 = 45148494061440
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
536 : 1, 2, 4, 8, 67, 134, 268, 536
255 : 1, 3, 5, 15, 17, 51, 85, 255
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,558,536,255,868, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
558:2x 3x 3x 31
536:2x 2x 2x 67
255:3x 5x 17
868:2x 2x 7x 31
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 3x 31x 31 = 46128
Therefore, the value for common factors is 46128.
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 = 45148494061440/(1x46128)
LCM = 45148494061440/46128
LCM = 978765480
Thus, we can understand that the LCM of 682,558,536,255,868 is 978765480.
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FAQs on LCM of 682, 558, 536, 255, 868
1. What is the LCM of 682, 558, 536, 255, 868?
Answer: LCM of 682, 558, 536, 255, 868 is 978765480.
2. How to calculate the LCM of 682, 558, 536, 255, 868?
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 682, 558, 536, 255, 868.
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}.