LCM of 416, 340, 576, 119, 799
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 340, 576, 119, 799 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 416, 340, 576, 119, 799. So, keep reading to learn more.
Given numbers are 416,340,576,119,799
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,340,576,119,799 is 209401920.
Find LCM of 416,340,576,119,799 with Prime Factorization
| 2 | 416, 340, 576, 119, 799 |
| 2 | 208, 170, 288, 119, 799 |
| 2 | 104, 85, 144, 119, 799 |
| 2 | 52, 85, 72, 119, 799 |
| 2 | 26, 85, 36, 119, 799 |
| 17 | 13, 85, 18, 119, 799 |
| 13, 5, 18, 7, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 17 x 13 x 5 x 18 x 7 x 47 = 209401920
Therefore, the lowest common multiple of 416,340,576,119,799 is 209401920.
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.
416 x 340 x 576 x 119 x 799 = 7746195824640
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
119 : 1, 7, 17, 119
799 : 1, 17, 47, 799
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,340,576,119,799, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
340:2x 2x 5x 17
576:2x 2x 2x 2x 2x 2x 3x 3
119:7x 17
799:17x 47
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 2x 2x 17x 17 = 36992
Therefore, the value for common factors is 36992.
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 = 7746195824640/(1x36992)
LCM = 7746195824640/36992
LCM = 209401920
Thus, we can understand that the LCM of 416,340,576,119,799 is 209401920.
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FAQs on LCM of 416, 340, 576, 119, 799
1. What is the LCM of 416, 340, 576, 119, 799?
Answer: LCM of 416, 340, 576, 119, 799 is 209401920.
2. How to calculate the LCM of 416, 340, 576, 119, 799?
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 416, 340, 576, 119, 799.
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}.