LCM of 682, 902, 762, 438, 497
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 902, 762, 438, 497 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, 902, 762, 438, 497. So, keep reading to learn more.
Given numbers are 682,902,762,438,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,902,762,438,497 is 386520431682.
Find LCM of 682,902,762,438,497 with Prime Factorization
| 2 | 682, 902, 762, 438, 497 |
| 3 | 341, 451, 381, 219, 497 |
| 11 | 341, 451, 127, 73, 497 |
| 31, 41, 127, 73, 497 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 31 x 41 x 127 x 73 x 497 = 386520431682
Therefore, the lowest common multiple of 682,902,762,438,497 is 386520431682.
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 902 x 762 x 438 x 497 = 102041393964048
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
902 : 1, 2, 11, 22, 41, 82, 451, 902
762 : 1, 2, 3, 6, 127, 254, 381, 762
438 : 1, 2, 3, 6, 73, 146, 219, 438
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,902,762,438,497, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
902:2x 11x 41
762:2x 3x 127
438:2x 3x 73
497:7x 71
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 11 = 264
Therefore, the value for common factors is 264.
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 = 102041393964048/(1x264)
LCM = 102041393964048/264
LCM = 386520431682
Thus, we can understand that the LCM of 682,902,762,438,497 is 386520431682.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 682, 902, 762, 438, 497
1. What is the LCM of 682, 902, 762, 438, 497?
Answer: LCM of 682, 902, 762, 438, 497 is 386520431682.
2. How to calculate the LCM of 682, 902, 762, 438, 497?
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, 902, 762, 438, 497.
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}.