LCM of 311, 600, 933, 704, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 311, 600, 933, 704, 407 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, 600, 933, 704, 407. So, keep reading to learn more.
Given numbers are 311,600,933,704,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,600,933,704,407 is 607569600.
Find LCM of 311,600,933,704,407 with Prime Factorization
| 2 | 311, 600, 933, 704, 407 |
| 2 | 311, 300, 933, 352, 407 |
| 2 | 311, 150, 933, 176, 407 |
| 3 | 311, 75, 933, 88, 407 |
| 11 | 311, 25, 311, 88, 407 |
| 311 | 311, 25, 311, 8, 37 |
| 1, 25, 1, 8, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 311 x 1 x 25 x 1 x 8 x 37 = 607569600
Therefore, the lowest common multiple of 311,600,933,704,407 is 607569600.
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 600 x 933 x 704 x 407 = 49883894438400
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
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
933 : 1, 3, 311, 933
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,600,933,704,407, is 1.
Now, the common factors can be found like this.
311:311
600:2x 2x 2x 3x 5x 5
933:3x 311
704:2x 2x 2x 2x 2x 2x 11
407:11x 37
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 3x 11x 311 = 82104
Therefore, the value for common factors is 82104.
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 = 49883894438400/(1x82104)
LCM = 49883894438400/82104
LCM = 607569600
Thus, we can understand that the LCM of 311,600,933,704,407 is 607569600.
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FAQs on LCM of 311, 600, 933, 704, 407
1. What is the LCM of 311, 600, 933, 704, 407?
Answer: LCM of 311, 600, 933, 704, 407 is 607569600.
2. How to calculate the LCM of 311, 600, 933, 704, 407?
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, 600, 933, 704, 407.
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}.