LCM of 685, 800, 551, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 685, 800, 551, 323 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 685, 800, 551, 323. So, keep reading to learn more.
Given numbers are 685,800,551,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,800,551,323 is 1026623200.
Find LCM of 685,800,551,323 with Prime Factorization
| 5 | 685, 800, 551, 323 |
| 19 | 137, 160, 551, 323 |
| 137, 160, 29, 17 |
Multiply the prime numbers at the bottom and the left side.
5 x 19 x 137 x 160 x 29 x 17 = 1026623200
Therefore, the lowest common multiple of 685,800,551,323 is 1026623200.
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.
685 x 800 x 551 x 323 = 97529204000
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.
685 : 1, 5, 137, 685
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
551 : 1, 19, 29, 551
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,800,551,323, is 1.
Now, the common factors can be found like this.
685:5x 137
800:2x 2x 2x 2x 2x 5x 5
551:19x 29
323:17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 19 = 95
Therefore, the value for common factors is 95.
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 = 97529204000/(1x95)
LCM = 97529204000/95
LCM = 1026623200
Thus, we can understand that the LCM of 685,800,551,323 is 1026623200.
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FAQs on LCM of 685, 800, 551, 323
1. What is the LCM of 685, 800, 551, 323?
Answer: LCM of 685, 800, 551, 323 is 1026623200.
2. How to calculate the LCM of 685, 800, 551, 323?
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 685, 800, 551, 323.
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}.