LCM of 298, 839, 233, 976
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 839, 233, 976 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 298, 839, 233, 976. So, keep reading to learn more.
Given numbers are 298,839,233,976
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,839,233,976 is 28428501488.
Find LCM of 298,839,233,976 with Prime Factorization
| 2 | 298, 839, 233, 976 |
| 149, 839, 233, 488 |
Multiply the prime numbers at the bottom and the left side.
2 x 149 x 839 x 233 x 488 = 28428501488
Therefore, the lowest common multiple of 298,839,233,976 is 28428501488.
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.
298 x 839 x 233 x 976 = 56857002976
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.
298 : 1, 2, 149, 298
839 : 1, 839
233 : 1, 233
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,839,233,976, is 1.
Now, the common factors can be found like this.
298:2x 149
839:839
233:233
976:2x 2x 2x 2x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 56857002976/(1x2)
LCM = 56857002976/2
LCM = 28428501488
Thus, we can understand that the LCM of 298,839,233,976 is 28428501488.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 298, 839, 233, 976
1. What is the LCM of 298, 839, 233, 976?
Answer: LCM of 298, 839, 233, 976 is 28428501488.
2. How to calculate the LCM of 298, 839, 233, 976?
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 298, 839, 233, 976.
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}.