LCM of 268, 481, 504, 637, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 481, 504, 637, 561 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 268, 481, 504, 637, 561. So, keep reading to learn more.
Given numbers are 268,481,504,637,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,481,504,637,561 is 21261312072.
Find LCM of 268,481,504,637,561 with Prime Factorization
| 2 | 268, 481, 504, 637, 561 |
| 2 | 134, 481, 252, 637, 561 |
| 3 | 67, 481, 126, 637, 561 |
| 7 | 67, 481, 42, 637, 187 |
| 13 | 67, 481, 6, 91, 187 |
| 67, 37, 6, 7, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 67 x 37 x 6 x 7 x 187 = 21261312072
Therefore, the lowest common multiple of 268,481,504,637,561 is 21261312072.
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.
268 x 481 x 504 x 637 x 561 = 23217352782624
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.
268 : 1, 2, 4, 67, 134, 268
481 : 1, 13, 37, 481
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
637 : 1, 7, 13, 49, 91, 637
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,481,504,637,561, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
481:13x 37
504:2x 2x 2x 3x 3x 7
637:7x 7x 13
561:3x 11x 17
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 3x 7x 13 = 1092
Therefore, the value for common factors is 1092.
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 = 23217352782624/(1x1092)
LCM = 23217352782624/1092
LCM = 21261312072
Thus, we can understand that the LCM of 268,481,504,637,561 is 21261312072.
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FAQs on LCM of 268, 481, 504, 637, 561
1. What is the LCM of 268, 481, 504, 637, 561?
Answer: LCM of 268, 481, 504, 637, 561 is 21261312072.
2. How to calculate the LCM of 268, 481, 504, 637, 561?
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 268, 481, 504, 637, 561.
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}.