LCM of 911, 463, 312, 247, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 911, 463, 312, 247, 832 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 911, 463, 312, 247, 832. So, keep reading to learn more.
Given numbers are 911,463,312,247,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 911,463,312,247,832 is 20003111232.
Find LCM of 911,463,312,247,832 with Prime Factorization
| 2 | 911, 463, 312, 247, 832 |
| 2 | 911, 463, 156, 247, 416 |
| 2 | 911, 463, 78, 247, 208 |
| 13 | 911, 463, 39, 247, 104 |
| 911, 463, 3, 19, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 911 x 463 x 3 x 19 x 8 = 20003111232
Therefore, the lowest common multiple of 911,463,312,247,832 is 20003111232.
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.
911 x 463 x 312 x 247 x 832 = 27044206385664
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.
911 : 1, 911
463 : 1, 463
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
247 : 1, 13, 19, 247
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 911,463,312,247,832, is 1.
Now, the common factors can be found like this.
911:911
463:463
312:2x 2x 2x 3x 13
247:13x 19
832:2x 2x 2x 2x 2x 2x 13
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 13x 13 = 1352
Therefore, the value for common factors is 1352.
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 = 27044206385664/(1x1352)
LCM = 27044206385664/1352
LCM = 20003111232
Thus, we can understand that the LCM of 911,463,312,247,832 is 20003111232.
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FAQs on LCM of 911, 463, 312, 247, 832
1. What is the LCM of 911, 463, 312, 247, 832?
Answer: LCM of 911, 463, 312, 247, 832 is 20003111232.
2. How to calculate the LCM of 911, 463, 312, 247, 832?
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 911, 463, 312, 247, 832.
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}.