LCM of 281, 731, 843, 129
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 281, 731, 843, 129 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 281, 731, 843, 129. So, keep reading to learn more.
Given numbers are 281,731,843,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 281,731,843,129 is 616233.
Find LCM of 281,731,843,129 with Prime Factorization
| 3 | 281, 731, 843, 129 |
| 43 | 281, 731, 281, 43 |
| 281 | 281, 17, 281, 1 |
| 1, 17, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 43 x 281 x 1 x 17 x 1 x 1 = 616233
Therefore, the lowest common multiple of 281,731,843,129 is 616233.
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.
281 x 731 x 843 x 129 = 22337830017
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.
281 : 1, 281
731 : 1, 17, 43, 731
843 : 1, 3, 281, 843
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,731,843,129, is 1.
Now, the common factors can be found like this.
281:281
731:17x 43
843:3x 281
129:3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 43x 281 = 36249
Therefore, the value for common factors is 36249.
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 = 22337830017/(1x36249)
LCM = 22337830017/36249
LCM = 616233
Thus, we can understand that the LCM of 281,731,843,129 is 616233.
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FAQs on LCM of 281, 731, 843, 129
1. What is the LCM of 281, 731, 843, 129?
Answer: LCM of 281, 731, 843, 129 is 616233.
2. How to calculate the LCM of 281, 731, 843, 129?
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 281, 731, 843, 129.
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}.