LCM of 934, 396, 660, 731, 911
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 934, 396, 660, 731, 911 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 934, 396, 660, 731, 911. So, keep reading to learn more.
Given numbers are 934,396,660,731,911
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 934,396,660,731,911 is 615769005060.
Find LCM of 934,396,660,731,911 with Prime Factorization
| 2 | 934, 396, 660, 731, 911 |
| 2 | 467, 198, 330, 731, 911 |
| 3 | 467, 99, 165, 731, 911 |
| 11 | 467, 33, 55, 731, 911 |
| 467, 3, 5, 731, 911 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 467 x 3 x 5 x 731 x 911 = 615769005060
Therefore, the lowest common multiple of 934,396,660,731,911 is 615769005060.
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.
934 x 396 x 660 x 731 x 911 = 162563017335840
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.
934 : 1, 2, 467, 934
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
731 : 1, 17, 43, 731
911 : 1, 911
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,396,660,731,911, is 1.
Now, the common factors can be found like this.
934:2x 467
396:2x 2x 3x 3x 11
660:2x 2x 3x 5x 11
731:17x 43
911:911
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 11 = 264
Therefore, the value for common factors is 264.
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 = 162563017335840/(1x264)
LCM = 162563017335840/264
LCM = 615769005060
Thus, we can understand that the LCM of 934,396,660,731,911 is 615769005060.
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FAQs on LCM of 934, 396, 660, 731, 911
1. What is the LCM of 934, 396, 660, 731, 911?
Answer: LCM of 934, 396, 660, 731, 911 is 615769005060.
2. How to calculate the LCM of 934, 396, 660, 731, 911?
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 934, 396, 660, 731, 911.
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}.