LCM of 696, 123, 768, 903
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 123, 768, 903 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 696, 123, 768, 903. So, keep reading to learn more.
Given numbers are 696,123,768,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,123,768,903 is 274858752.
Find LCM of 696,123,768,903 with Prime Factorization
| 2 | 696, 123, 768, 903 |
| 2 | 348, 123, 384, 903 |
| 2 | 174, 123, 192, 903 |
| 3 | 87, 123, 96, 903 |
| 29, 41, 32, 301 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 41 x 32 x 301 = 274858752
Therefore, the lowest common multiple of 696,123,768,903 is 274858752.
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.
696 x 123 x 768 x 903 = 59369490432
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
123 : 1, 3, 41, 123
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
903 : 1, 3, 7, 21, 43, 129, 301, 903
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,123,768,903, is 3.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
123:3x 41
768:2x 2x 2x 2x 2x 2x 2x 2x 3
903:3x 7x 43
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 3 = 72
Therefore, the value for common factors is 72.
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 = 59369490432/(3x72)
LCM = 59369490432/216
LCM = 274858752
Thus, we can understand that the LCM of 696,123,768,903 is 274858752.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 696, 123, 768, 903
1. What is the LCM of 696, 123, 768, 903?
Answer: LCM of 696, 123, 768, 903 is 274858752.
2. How to calculate the LCM of 696, 123, 768, 903?
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 696, 123, 768, 903.
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}.