LCM of 481, 760, 728, 200, 764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 481, 760, 728, 200, 764 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 481, 760, 728, 200, 764. So, keep reading to learn more.
Given numbers are 481,760,728,200,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,760,728,200,764 is 2443768600.
Find LCM of 481,760,728,200,764 with Prime Factorization
| 2 | 481, 760, 728, 200, 764 |
| 2 | 481, 380, 364, 100, 382 |
| 2 | 481, 190, 182, 50, 191 |
| 5 | 481, 95, 91, 25, 191 |
| 13 | 481, 19, 91, 5, 191 |
| 37, 19, 7, 5, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 37 x 19 x 7 x 5 x 191 = 2443768600
Therefore, the lowest common multiple of 481,760,728,200,764 is 2443768600.
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.
481 x 760 x 728 x 200 x 764 = 40664309504000
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.
481 : 1, 13, 37, 481
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
764 : 1, 2, 4, 191, 382, 764
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,760,728,200,764, is 1.
Now, the common factors can be found like this.
481:13x 37
760:2x 2x 2x 5x 19
728:2x 2x 2x 7x 13
200:2x 2x 2x 5x 5
764:2x 2x 191
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 2x 5x 13 = 16640
Therefore, the value for common factors is 16640.
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 = 40664309504000/(1x16640)
LCM = 40664309504000/16640
LCM = 2443768600
Thus, we can understand that the LCM of 481,760,728,200,764 is 2443768600.
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FAQs on LCM of 481, 760, 728, 200, 764
1. What is the LCM of 481, 760, 728, 200, 764?
Answer: LCM of 481, 760, 728, 200, 764 is 2443768600.
2. How to calculate the LCM of 481, 760, 728, 200, 764?
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 481, 760, 728, 200, 764.
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}.