LCM of 682, 999, 771, 774, 458
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 999, 771, 774, 458 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, 999, 771, 774, 458. So, keep reading to learn more.
Given numbers are 682,999,771,774,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,999,771,774,458 is 1724197154922.
Find LCM of 682,999,771,774,458 with Prime Factorization
| 2 | 682, 999, 771, 774, 458 |
| 3 | 341, 999, 771, 387, 229 |
| 3 | 341, 333, 257, 129, 229 |
| 341, 111, 257, 43, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 341 x 111 x 257 x 43 x 229 = 1724197154922
Therefore, the lowest common multiple of 682,999,771,774,458 is 1724197154922.
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 999 x 771 x 774 x 458 = 186213292731576
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
999 : 1, 3, 9, 27, 37, 111, 333, 999
771 : 1, 3, 257, 771
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
458 : 1, 2, 229, 458
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,999,771,774,458, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
999:3x 3x 3x 37
771:3x 257
774:2x 3x 3x 43
458:2x 229
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 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 186213292731576/(1x108)
LCM = 186213292731576/108
LCM = 1724197154922
Thus, we can understand that the LCM of 682,999,771,774,458 is 1724197154922.
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FAQs on LCM of 682, 999, 771, 774, 458
1. What is the LCM of 682, 999, 771, 774, 458?
Answer: LCM of 682, 999, 771, 774, 458 is 1724197154922.
2. How to calculate the LCM of 682, 999, 771, 774, 458?
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, 999, 771, 774, 458.
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}.