LCM of 816, 425, 340, 569
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 425, 340, 569 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 816, 425, 340, 569. So, keep reading to learn more.
Given numbers are 816,425,340,569
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,425,340,569 is 11607600.
Find LCM of 816,425,340,569 with Prime Factorization
| 2 | 816, 425, 340, 569 |
| 2 | 408, 425, 170, 569 |
| 5 | 204, 425, 85, 569 |
| 17 | 204, 17, 85, 569 |
| 12, 1, 5, 569 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 12 x 1 x 5 x 569 = 11607600
Therefore, the lowest common multiple of 816,425,340,569 is 11607600.
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.
816 x 425 x 340 x 569 = 67091928000
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
425 : 1, 5, 17, 25, 85, 425
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
569 : 1, 569
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,425,340,569, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
425:5x 5x 17
340:2x 2x 5x 17
569:569
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 5x 17x 17 = 5780
Therefore, the value for common factors is 5780.
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 = 67091928000/(1x5780)
LCM = 67091928000/5780
LCM = 11607600
Thus, we can understand that the LCM of 816,425,340,569 is 11607600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 816, 425, 340, 569
1. What is the LCM of 816, 425, 340, 569?
Answer: LCM of 816, 425, 340, 569 is 11607600.
2. How to calculate the LCM of 816, 425, 340, 569?
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 816, 425, 340, 569.
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}.