LCM of 635, 464, 116, 844, 771
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 464, 116, 844, 771 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 635, 464, 116, 844, 771. So, keep reading to learn more.
Given numbers are 635,464,116,844,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,464,116,844,771 is 47932329840.
Find LCM of 635,464,116,844,771 with Prime Factorization
| 2 | 635, 464, 116, 844, 771 |
| 2 | 635, 232, 58, 422, 771 |
| 29 | 635, 116, 29, 211, 771 |
| 635, 4, 1, 211, 771 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 635 x 4 x 1 x 211 x 771 = 47932329840
Therefore, the lowest common multiple of 635,464,116,844,771 is 47932329840.
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.
635 x 464 x 116 x 844 x 771 = 22240601045760
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.
635 : 1, 5, 127, 635
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
116 : 1, 2, 4, 29, 58, 116
844 : 1, 2, 4, 211, 422, 844
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,464,116,844,771, is 1.
Now, the common factors can be found like this.
635:5x 127
464:2x 2x 2x 2x 29
116:2x 2x 29
844:2x 2x 211
771:3x 257
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 29 = 464
Therefore, the value for common factors is 464.
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 = 22240601045760/(1x464)
LCM = 22240601045760/464
LCM = 47932329840
Thus, we can understand that the LCM of 635,464,116,844,771 is 47932329840.
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FAQs on LCM of 635, 464, 116, 844, 771
1. What is the LCM of 635, 464, 116, 844, 771?
Answer: LCM of 635, 464, 116, 844, 771 is 47932329840.
2. How to calculate the LCM of 635, 464, 116, 844, 771?
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 635, 464, 116, 844, 771.
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}.