LCM of 589, 481, 954, 938, 268
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 481, 954, 938, 268 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 589, 481, 954, 938, 268. So, keep reading to learn more.
Given numbers are 589,481,954,938,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,481,954,938,268 is 253519625268.
Find LCM of 589,481,954,938,268 with Prime Factorization
| 2 | 589, 481, 954, 938, 268 |
| 67 | 589, 481, 477, 469, 134 |
| 589, 481, 477, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 67 x 589 x 481 x 477 x 7 x 2 = 253519625268
Therefore, the lowest common multiple of 589,481,954,938,268 is 253519625268.
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.
589 x 481 x 954 x 938 x 268 = 67943259571824
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.
589 : 1, 19, 31, 589
481 : 1, 13, 37, 481
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
938 : 1, 2, 7, 14, 67, 134, 469, 938
268 : 1, 2, 4, 67, 134, 268
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,481,954,938,268, is 1.
Now, the common factors can be found like this.
589:19x 31
481:13x 37
954:2x 3x 3x 53
938:2x 7x 67
268:2x 2x 67
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 67 = 268
Therefore, the value for common factors is 268.
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 = 67943259571824/(1x268)
LCM = 67943259571824/268
LCM = 253519625268
Thus, we can understand that the LCM of 589,481,954,938,268 is 253519625268.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 589, 481, 954, 938, 268
1. What is the LCM of 589, 481, 954, 938, 268?
Answer: LCM of 589, 481, 954, 938, 268 is 253519625268.
2. How to calculate the LCM of 589, 481, 954, 938, 268?
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 589, 481, 954, 938, 268.
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}.