LCM of 682, 464, 612, 517, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 464, 612, 517, 753 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, 464, 612, 517, 753. So, keep reading to learn more.
Given numbers are 682,464,612,517,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,464,612,517,753 is 285584984784.
Find LCM of 682,464,612,517,753 with Prime Factorization
| 2 | 682, 464, 612, 517, 753 |
| 2 | 341, 232, 306, 517, 753 |
| 3 | 341, 116, 153, 517, 753 |
| 11 | 341, 116, 51, 517, 251 |
| 31, 116, 51, 47, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 31 x 116 x 51 x 47 x 251 = 285584984784
Therefore, the lowest common multiple of 682,464,612,517,753 is 285584984784.
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 464 x 612 x 517 x 753 = 75394435982976
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
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
517 : 1, 11, 47, 517
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,464,612,517,753, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
464:2x 2x 2x 2x 29
612:2x 2x 3x 3x 17
517:11x 47
753:3x 251
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 = 75394435982976/(1x264)
LCM = 75394435982976/264
LCM = 285584984784
Thus, we can understand that the LCM of 682,464,612,517,753 is 285584984784.
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FAQs on LCM of 682, 464, 612, 517, 753
1. What is the LCM of 682, 464, 612, 517, 753?
Answer: LCM of 682, 464, 612, 517, 753 is 285584984784.
2. How to calculate the LCM of 682, 464, 612, 517, 753?
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, 464, 612, 517, 753.
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}.