LCM of 936, 107, 346, 809, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 107, 346, 809, 963 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 936, 107, 346, 809, 963. So, keep reading to learn more.
Given numbers are 936,107,346,809,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,107,346,809,963 is 14016973464.
Find LCM of 936,107,346,809,963 with Prime Factorization
| 2 | 936, 107, 346, 809, 963 |
| 3 | 468, 107, 173, 809, 963 |
| 3 | 156, 107, 173, 809, 321 |
| 107 | 52, 107, 173, 809, 107 |
| 52, 1, 173, 809, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 107 x 52 x 1 x 173 x 809 x 1 = 14016973464
Therefore, the lowest common multiple of 936,107,346,809,963 is 14016973464.
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.
936 x 107 x 346 x 809 x 963 = 26996690891664
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
107 : 1, 107
346 : 1, 2, 173, 346
809 : 1, 809
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,107,346,809,963, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
107:107
346:2x 173
809:809
963:3x 3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 107 = 1926
Therefore, the value for common factors is 1926.
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 = 26996690891664/(1x1926)
LCM = 26996690891664/1926
LCM = 14016973464
Thus, we can understand that the LCM of 936,107,346,809,963 is 14016973464.
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FAQs on LCM of 936, 107, 346, 809, 963
1. What is the LCM of 936, 107, 346, 809, 963?
Answer: LCM of 936, 107, 346, 809, 963 is 14016973464.
2. How to calculate the LCM of 936, 107, 346, 809, 963?
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 936, 107, 346, 809, 963.
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}.