LCM of 720, 686, 339, 721, 247
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 720, 686, 339, 721, 247 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 720, 686, 339, 721, 247. So, keep reading to learn more.
Given numbers are 720,686,339,721,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,686,339,721,247 is 709968757680.
Find LCM of 720,686,339,721,247 with Prime Factorization
| 2 | 720, 686, 339, 721, 247 |
| 3 | 360, 343, 339, 721, 247 |
| 7 | 120, 343, 113, 721, 247 |
| 120, 49, 113, 103, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 120 x 49 x 113 x 103 x 247 = 709968757680
Therefore, the lowest common multiple of 720,686,339,721,247 is 709968757680.
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.
720 x 686 x 339 x 721 x 247 = 29818687822560
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.
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
686 : 1, 2, 7, 14, 49, 98, 343, 686
339 : 1, 3, 113, 339
721 : 1, 7, 103, 721
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,686,339,721,247, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
686:2x 7x 7x 7
339:3x 113
721:7x 103
247:13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 29818687822560/(1x42)
LCM = 29818687822560/42
LCM = 709968757680
Thus, we can understand that the LCM of 720,686,339,721,247 is 709968757680.
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FAQs on LCM of 720, 686, 339, 721, 247
1. What is the LCM of 720, 686, 339, 721, 247?
Answer: LCM of 720, 686, 339, 721, 247 is 709968757680.
2. How to calculate the LCM of 720, 686, 339, 721, 247?
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 720, 686, 339, 721, 247.
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}.