LCM of 836, 957, 779, 786, 944
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 957, 779, 786, 944 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 836, 957, 779, 786, 944. So, keep reading to learn more.
Given numbers are 836,957,779,786,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,957,779,786,944 is 92191882992.
Find LCM of 836,957,779,786,944 with Prime Factorization
| 2 | 836, 957, 779, 786, 944 |
| 2 | 418, 957, 779, 393, 472 |
| 3 | 209, 957, 779, 393, 236 |
| 11 | 209, 319, 779, 131, 236 |
| 19 | 19, 29, 779, 131, 236 |
| 1, 29, 41, 131, 236 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 19 x 1 x 29 x 41 x 131 x 236 = 92191882992
Therefore, the lowest common multiple of 836,957,779,786,944 is 92191882992.
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.
836 x 957 x 779 x 786 x 944 = 462434485087872
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
957 : 1, 3, 11, 29, 33, 87, 319, 957
779 : 1, 19, 41, 779
786 : 1, 2, 3, 6, 131, 262, 393, 786
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,957,779,786,944, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
957:3x 11x 29
779:19x 41
786:2x 3x 131
944:2x 2x 2x 2x 59
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 11x 19 = 5016
Therefore, the value for common factors is 5016.
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 = 462434485087872/(1x5016)
LCM = 462434485087872/5016
LCM = 92191882992
Thus, we can understand that the LCM of 836,957,779,786,944 is 92191882992.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 836, 957, 779, 786, 944
1. What is the LCM of 836, 957, 779, 786, 944?
Answer: LCM of 836, 957, 779, 786, 944 is 92191882992.
2. How to calculate the LCM of 836, 957, 779, 786, 944?
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 836, 957, 779, 786, 944.
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}.