LCM of 338, 568, 800, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 568, 800, 720 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 338, 568, 800, 720. So, keep reading to learn more.
Given numbers are 338,568,800,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,568,800,720 is 86392800.
Find LCM of 338,568,800,720 with Prime Factorization
| 2 | 338, 568, 800, 720 |
| 2 | 169, 284, 400, 360 |
| 2 | 169, 142, 200, 180 |
| 2 | 169, 71, 100, 90 |
| 5 | 169, 71, 50, 45 |
| 169, 71, 10, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 169 x 71 x 10 x 9 = 86392800
Therefore, the lowest common multiple of 338,568,800,720 is 86392800.
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.
338 x 568 x 800 x 720 = 110582784000
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.
338 : 1, 2, 13, 26, 169, 338
568 : 1, 2, 4, 8, 71, 142, 284, 568
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
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
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,568,800,720, is 2.
Now, the common factors can be found like this.
338:2x 13x 13
568:2x 2x 2x 71
800:2x 2x 2x 2x 2x 5x 5
720:2x 2x 2x 2x 3x 3x 5
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 5 = 640
Therefore, the value for common factors is 640.
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 = 110582784000/(2x640)
LCM = 110582784000/1280
LCM = 86392800
Thus, we can understand that the LCM of 338,568,800,720 is 86392800.
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FAQs on LCM of 338, 568, 800, 720
1. What is the LCM of 338, 568, 800, 720?
Answer: LCM of 338, 568, 800, 720 is 86392800.
2. How to calculate the LCM of 338, 568, 800, 720?
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 338, 568, 800, 720.
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}.