LCM of 843, 904, 289, 113
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 904, 289, 113 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 843, 904, 289, 113. So, keep reading to learn more.
Given numbers are 843,904,289,113
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,904,289,113 is 220238808.
Find LCM of 843,904,289,113 with Prime Factorization
| 113 | 843, 904, 289, 113 |
| 843, 8, 289, 1 |
Multiply the prime numbers at the bottom and the left side.
113 x 843 x 8 x 289 x 1 = 220238808
Therefore, the lowest common multiple of 843,904,289,113 is 220238808.
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.
843 x 904 x 289 x 113 = 24886985304
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.
843 : 1, 3, 281, 843
904 : 1, 2, 4, 8, 113, 226, 452, 904
289 : 1, 17, 289
113 : 1, 113
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,904,289,113, is 1.
Now, the common factors can be found like this.
843:3x 281
904:2x 2x 2x 113
289:17x 17
113:113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
113 = 113
Therefore, the value for common factors is 113.
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 = 24886985304/(1x113)
LCM = 24886985304/113
LCM = 220238808
Thus, we can understand that the LCM of 843,904,289,113 is 220238808.
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FAQs on LCM of 843, 904, 289, 113
1. What is the LCM of 843, 904, 289, 113?
Answer: LCM of 843, 904, 289, 113 is 220238808.
2. How to calculate the LCM of 843, 904, 289, 113?
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 843, 904, 289, 113.
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}.