LCM of 904, 261, 968, 258
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 261, 968, 258 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 904, 261, 968, 258. So, keep reading to learn more.
Given numbers are 904,261,968,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,261,968,258 is 1227616632.
Find LCM of 904,261,968,258 with Prime Factorization
| 2 | 904, 261, 968, 258 |
| 2 | 452, 261, 484, 129 |
| 2 | 226, 261, 242, 129 |
| 3 | 113, 261, 121, 129 |
| 113, 87, 121, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 113 x 87 x 121 x 43 = 1227616632
Therefore, the lowest common multiple of 904,261,968,258 is 1227616632.
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.
904 x 261 x 968 x 258 = 58925598336
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
261 : 1, 3, 9, 29, 87, 261
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
258 : 1, 2, 3, 6, 43, 86, 129, 258
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,261,968,258, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
261:3x 3x 29
968:2x 2x 2x 11x 11
258:2x 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.
2x 2x 2x 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 58925598336/(1x48)
LCM = 58925598336/48
LCM = 1227616632
Thus, we can understand that the LCM of 904,261,968,258 is 1227616632.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 904, 261, 968, 258
1. What is the LCM of 904, 261, 968, 258?
Answer: LCM of 904, 261, 968, 258 is 1227616632.
2. How to calculate the LCM of 904, 261, 968, 258?
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 904, 261, 968, 258.
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}.