LCM of 511, 938, 567, 872, 763
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 511, 938, 567, 872, 763 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 511, 938, 567, 872, 763. So, keep reading to learn more.
Given numbers are 511,938,567,872,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,938,567,872,763 is 2418227784.
Find LCM of 511,938,567,872,763 with Prime Factorization
| 2 | 511, 938, 567, 872, 763 |
| 7 | 511, 469, 567, 436, 763 |
| 109 | 73, 67, 81, 436, 109 |
| 73, 67, 81, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 109 x 73 x 67 x 81 x 4 x 1 = 2418227784
Therefore, the lowest common multiple of 511,938,567,872,763 is 2418227784.
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.
511 x 938 x 567 x 872 x 763 = 180820564320816
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.
511 : 1, 7, 73, 511
938 : 1, 2, 7, 14, 67, 134, 469, 938
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
872 : 1, 2, 4, 8, 109, 218, 436, 872
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,938,567,872,763, is 1.
Now, the common factors can be found like this.
511:7x 73
938:2x 7x 67
567:3x 3x 3x 3x 7
872:2x 2x 2x 109
763:7x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 7x 109 = 74774
Therefore, the value for common factors is 74774.
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 = 180820564320816/(1x74774)
LCM = 180820564320816/74774
LCM = 2418227784
Thus, we can understand that the LCM of 511,938,567,872,763 is 2418227784.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 511, 938, 567, 872, 763
1. What is the LCM of 511, 938, 567, 872, 763?
Answer: LCM of 511, 938, 567, 872, 763 is 2418227784.
2. How to calculate the LCM of 511, 938, 567, 872, 763?
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 511, 938, 567, 872, 763.
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}.