LCM of 341, 309, 772, 204, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 309, 772, 204, 936 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 341, 309, 772, 204, 936. So, keep reading to learn more.
Given numbers are 341,309,772,204,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,309,772,204,936 is 107863294968.
Find LCM of 341,309,772,204,936 with Prime Factorization
| 2 | 341, 309, 772, 204, 936 |
| 2 | 341, 309, 386, 102, 468 |
| 3 | 341, 309, 193, 51, 234 |
| 341, 103, 193, 17, 78 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 341 x 103 x 193 x 17 x 78 = 107863294968
Therefore, the lowest common multiple of 341,309,772,204,936 is 107863294968.
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.
341 x 309 x 772 x 204 x 936 = 15532314475392
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.
341 : 1, 11, 31, 341
309 : 1, 3, 103, 309
772 : 1, 2, 4, 193, 386, 772
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,309,772,204,936, is 1.
Now, the common factors can be found like this.
341:11x 31
309:3x 103
772:2x 2x 193
204:2x 2x 3x 17
936:2x 2x 2x 3x 3x 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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 15532314475392/(1x144)
LCM = 15532314475392/144
LCM = 107863294968
Thus, we can understand that the LCM of 341,309,772,204,936 is 107863294968.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 341, 309, 772, 204, 936
1. What is the LCM of 341, 309, 772, 204, 936?
Answer: LCM of 341, 309, 772, 204, 936 is 107863294968.
2. How to calculate the LCM of 341, 309, 772, 204, 936?
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 341, 309, 772, 204, 936.
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}.