LCM of 684, 722, 504, 412, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 722, 504, 412, 339 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 684, 722, 504, 412, 339. So, keep reading to learn more.
Given numbers are 684,722,504,412,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,722,504,412,339 is 2117646216.
Find LCM of 684,722,504,412,339 with Prime Factorization
| 2 | 684, 722, 504, 412, 339 |
| 2 | 342, 361, 252, 206, 339 |
| 3 | 171, 361, 126, 103, 339 |
| 3 | 57, 361, 42, 103, 113 |
| 19 | 19, 361, 14, 103, 113 |
| 1, 19, 14, 103, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 1 x 19 x 14 x 103 x 113 = 2117646216
Therefore, the lowest common multiple of 684,722,504,412,339 is 2117646216.
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.
684 x 722 x 504 x 412 x 339 = 34763280281856
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
722 : 1, 2, 19, 38, 361, 722
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
412 : 1, 2, 4, 103, 206, 412
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,722,504,412,339, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
722:2x 19x 19
504:2x 2x 2x 3x 3x 7
412:2x 2x 103
339:3x 113
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 2x 2x 3x 3x 3x 19 = 16416
Therefore, the value for common factors is 16416.
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 = 34763280281856/(1x16416)
LCM = 34763280281856/16416
LCM = 2117646216
Thus, we can understand that the LCM of 684,722,504,412,339 is 2117646216.
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FAQs on LCM of 684, 722, 504, 412, 339
1. What is the LCM of 684, 722, 504, 412, 339?
Answer: LCM of 684, 722, 504, 412, 339 is 2117646216.
2. How to calculate the LCM of 684, 722, 504, 412, 339?
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 684, 722, 504, 412, 339.
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}.