LCM of 517, 420, 682, 407, 107
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 420, 682, 407, 107 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 517, 420, 682, 407, 107. So, keep reading to learn more.
Given numbers are 517,420,682,407,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,420,682,407,107 is 26649375060.
Find LCM of 517,420,682,407,107 with Prime Factorization
| 2 | 517, 420, 682, 407, 107 |
| 11 | 517, 210, 341, 407, 107 |
| 47, 210, 31, 37, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 47 x 210 x 31 x 37 x 107 = 26649375060
Therefore, the lowest common multiple of 517,420,682,407,107 is 26649375060.
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.
517 x 420 x 682 x 407 x 107 = 6449148764520
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.
517 : 1, 11, 47, 517
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
682 : 1, 2, 11, 22, 31, 62, 341, 682
407 : 1, 11, 37, 407
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,420,682,407,107, is 1.
Now, the common factors can be found like this.
517:11x 47
420:2x 2x 3x 5x 7
682:2x 11x 31
407:11x 37
107:107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 6449148764520/(1x242)
LCM = 6449148764520/242
LCM = 26649375060
Thus, we can understand that the LCM of 517,420,682,407,107 is 26649375060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 517, 420, 682, 407, 107
1. What is the LCM of 517, 420, 682, 407, 107?
Answer: LCM of 517, 420, 682, 407, 107 is 26649375060.
2. How to calculate the LCM of 517, 420, 682, 407, 107?
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 517, 420, 682, 407, 107.
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}.