LCM of 311, 574, 238, 972, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 311, 574, 238, 972, 984 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 311, 574, 238, 972, 984. So, keep reading to learn more.
Given numbers are 311,574,238,972,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,574,238,972,984 is 2949765336.
Find LCM of 311,574,238,972,984 with Prime Factorization
| 2 | 311, 574, 238, 972, 984 |
| 2 | 311, 287, 119, 486, 492 |
| 3 | 311, 287, 119, 243, 246 |
| 7 | 311, 287, 119, 81, 82 |
| 41 | 311, 41, 17, 81, 82 |
| 311, 1, 17, 81, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 41 x 311 x 1 x 17 x 81 x 2 = 2949765336
Therefore, the lowest common multiple of 311,574,238,972,984 is 2949765336.
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.
311 x 574 x 238 x 972 x 984 = 40635967268736
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.
311 : 1, 311
574 : 1, 2, 7, 14, 41, 82, 287, 574
238 : 1, 2, 7, 14, 17, 34, 119, 238
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,574,238,972,984, is 1.
Now, the common factors can be found like this.
311:311
574:2x 7x 41
238:2x 7x 17
972:2x 2x 3x 3x 3x 3x 3
984:2x 2x 2x 3x 41
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 3x 7x 41 = 13776
Therefore, the value for common factors is 13776.
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 = 40635967268736/(1x13776)
LCM = 40635967268736/13776
LCM = 2949765336
Thus, we can understand that the LCM of 311,574,238,972,984 is 2949765336.
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FAQs on LCM of 311, 574, 238, 972, 984
1. What is the LCM of 311, 574, 238, 972, 984?
Answer: LCM of 311, 574, 238, 972, 984 is 2949765336.
2. How to calculate the LCM of 311, 574, 238, 972, 984?
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 311, 574, 238, 972, 984.
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}.