LCM of 268, 654, 872, 559, 503
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 654, 872, 559, 503 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, 654, 872, 559, 503. So, keep reading to learn more.
Given numbers are 268,654,872,559,503
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,654,872,559,503 is 49282455144.
Find LCM of 268,654,872,559,503 with Prime Factorization
| 2 | 268, 654, 872, 559, 503 |
| 2 | 134, 327, 436, 559, 503 |
| 109 | 67, 327, 218, 559, 503 |
| 67, 3, 2, 559, 503 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 109 x 67 x 3 x 2 x 559 x 503 = 49282455144
Therefore, the lowest common multiple of 268,654,872,559,503 is 49282455144.
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 654 x 872 x 559 x 503 = 42974300885568
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
654 : 1, 2, 3, 6, 109, 218, 327, 654
872 : 1, 2, 4, 8, 109, 218, 436, 872
559 : 1, 13, 43, 559
503 : 1, 503
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,654,872,559,503, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
654:2x 3x 109
872:2x 2x 2x 109
559:13x 43
503:503
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 109 = 872
Therefore, the value for common factors is 872.
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 = 42974300885568/(1x872)
LCM = 42974300885568/872
LCM = 49282455144
Thus, we can understand that the LCM of 268,654,872,559,503 is 49282455144.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 268, 654, 872, 559, 503
1. What is the LCM of 268, 654, 872, 559, 503?
Answer: LCM of 268, 654, 872, 559, 503 is 49282455144.
2. How to calculate the LCM of 268, 654, 872, 559, 503?
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, 654, 872, 559, 503.
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}.