LCM of 976, 253, 836, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 976, 253, 836, 779 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 976, 253, 836, 779. So, keep reading to learn more.
Given numbers are 976,253,836,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 976,253,836,779 is 192356912.
Find LCM of 976,253,836,779 with Prime Factorization
| 2 | 976, 253, 836, 779 |
| 2 | 488, 253, 418, 779 |
| 11 | 244, 253, 209, 779 |
| 19 | 244, 23, 19, 779 |
| 244, 23, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 244 x 23 x 1 x 41 = 192356912
Therefore, the lowest common multiple of 976,253,836,779 is 192356912.
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.
976 x 253 x 836 x 779 = 160810378432
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.
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
253 : 1, 11, 23, 253
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,253,836,779, is 1.
Now, the common factors can be found like this.
976:2x 2x 2x 2x 61
253:11x 23
836:2x 2x 11x 19
779:19x 41
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 11x 19 = 836
Therefore, the value for common factors is 836.
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 = 160810378432/(1x836)
LCM = 160810378432/836
LCM = 192356912
Thus, we can understand that the LCM of 976,253,836,779 is 192356912.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 976, 253, 836, 779
1. What is the LCM of 976, 253, 836, 779?
Answer: LCM of 976, 253, 836, 779 is 192356912.
2. How to calculate the LCM of 976, 253, 836, 779?
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 976, 253, 836, 779.
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}.