LCM of 968, 696, 872, 836
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 968, 696, 872, 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 968, 696, 872, 836. So, keep reading to learn more.
Given numbers are 968,696,872,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 968,696,872,836 is 174411336.
Find LCM of 968,696,872,836 with Prime Factorization
| 2 | 968, 696, 872, 836 |
| 2 | 484, 348, 436, 418 |
| 2 | 242, 174, 218, 209 |
| 11 | 121, 87, 109, 209 |
| 11, 87, 109, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 11 x 87 x 109 x 19 = 174411336
Therefore, the lowest common multiple of 968,696,872,836 is 174411336.
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.
968 x 696 x 872 x 836 = 491142322176
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.
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
872 : 1, 2, 4, 8, 109, 218, 436, 872
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,696,872,836, is 4.
Now, the common factors can be found like this.
968:2x 2x 2x 11x 11
696:2x 2x 2x 3x 29
872:2x 2x 2x 109
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 2x 2x 2x 11 = 704
Therefore, the value for common factors is 704.
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 = 491142322176/(4x704)
LCM = 491142322176/2816
LCM = 174411336
Thus, we can understand that the LCM of 968,696,872,836 is 174411336.
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FAQs on LCM of 968, 696, 872, 836
1. What is the LCM of 968, 696, 872, 836?
Answer: LCM of 968, 696, 872, 836 is 174411336.
2. How to calculate the LCM of 968, 696, 872, 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 968, 696, 872, 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}.