LCM of 682, 208, 458, 416, 163
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 208, 458, 416, 163 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, 208, 458, 416, 163. So, keep reading to learn more.
Given numbers are 682,208,458,416,163
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,208,458,416,163 is 5295058912.
Find LCM of 682,208,458,416,163 with Prime Factorization
| 2 | 682, 208, 458, 416, 163 |
| 2 | 341, 104, 229, 208, 163 |
| 2 | 341, 52, 229, 104, 163 |
| 2 | 341, 26, 229, 52, 163 |
| 13 | 341, 13, 229, 26, 163 |
| 341, 1, 229, 2, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 341 x 1 x 229 x 2 x 163 = 5295058912
Therefore, the lowest common multiple of 682,208,458,416,163 is 5295058912.
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 208 x 458 x 416 x 163 = 4405489014784
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
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
458 : 1, 2, 229, 458
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
163 : 1, 163
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,208,458,416,163, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
208:2x 2x 2x 2x 13
458:2x 229
416:2x 2x 2x 2x 2x 13
163:163
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 2x 2x 2x 13 = 832
Therefore, the value for common factors is 832.
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 = 4405489014784/(1x832)
LCM = 4405489014784/832
LCM = 5295058912
Thus, we can understand that the LCM of 682,208,458,416,163 is 5295058912.
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FAQs on LCM of 682, 208, 458, 416, 163
1. What is the LCM of 682, 208, 458, 416, 163?
Answer: LCM of 682, 208, 458, 416, 163 is 5295058912.
2. How to calculate the LCM of 682, 208, 458, 416, 163?
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, 208, 458, 416, 163.
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}.