LCM of 861, 317, 786, 336, 836
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 317, 786, 336, 836 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 861, 317, 786, 336, 836. So, keep reading to learn more.
Given numbers are 861,317,786,336,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,317,786,336,836 is 119563873968.
Find LCM of 861,317,786,336,836 with Prime Factorization
| 2 | 861, 317, 786, 336, 836 |
| 2 | 861, 317, 393, 168, 418 |
| 3 | 861, 317, 393, 84, 209 |
| 7 | 287, 317, 131, 28, 209 |
| 41, 317, 131, 4, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 41 x 317 x 131 x 4 x 209 = 119563873968
Therefore, the lowest common multiple of 861,317,786,336,836 is 119563873968.
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.
861 x 317 x 786 x 336 x 836 = 60260192479872
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
317 : 1, 317
786 : 1, 2, 3, 6, 131, 262, 393, 786
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,317,786,336,836, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
317:317
786:2x 3x 131
336:2x 2x 2x 2x 3x 7
836:2x 2x 11x 19
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 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 60260192479872/(1x504)
LCM = 60260192479872/504
LCM = 119563873968
Thus, we can understand that the LCM of 861,317,786,336,836 is 119563873968.
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FAQs on LCM of 861, 317, 786, 336, 836
1. What is the LCM of 861, 317, 786, 336, 836?
Answer: LCM of 861, 317, 786, 336, 836 is 119563873968.
2. How to calculate the LCM of 861, 317, 786, 336, 836?
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 861, 317, 786, 336, 836.
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}.