LCM of 357, 682, 415, 396, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 682, 415, 396, 680 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 357, 682, 415, 396, 680. So, keep reading to learn more.
Given numbers are 357,682,415,396,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,682,415,396,680 is 1212500520.
Find LCM of 357,682,415,396,680 with Prime Factorization
| 2 | 357, 682, 415, 396, 680 |
| 2 | 357, 341, 415, 198, 340 |
| 3 | 357, 341, 415, 99, 170 |
| 5 | 119, 341, 415, 33, 170 |
| 11 | 119, 341, 83, 33, 34 |
| 17 | 119, 31, 83, 3, 34 |
| 7, 31, 83, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 17 x 7 x 31 x 83 x 3 x 2 = 1212500520
Therefore, the lowest common multiple of 357,682,415,396,680 is 1212500520.
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.
357 x 682 x 415 x 396 x 680 = 27208511668800
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
682 : 1, 2, 11, 22, 31, 62, 341, 682
415 : 1, 5, 83, 415
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,682,415,396,680, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
682:2x 11x 31
415:5x 83
396:2x 2x 3x 3x 11
680:2x 2x 2x 5x 17
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 5x 11x 17 = 22440
Therefore, the value for common factors is 22440.
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 = 27208511668800/(1x22440)
LCM = 27208511668800/22440
LCM = 1212500520
Thus, we can understand that the LCM of 357,682,415,396,680 is 1212500520.
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FAQs on LCM of 357, 682, 415, 396, 680
1. What is the LCM of 357, 682, 415, 396, 680?
Answer: LCM of 357, 682, 415, 396, 680 is 1212500520.
2. How to calculate the LCM of 357, 682, 415, 396, 680?
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 357, 682, 415, 396, 680.
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}.