LCM of 252, 856, 499, 783, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 252, 856, 499, 783, 696 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 252, 856, 499, 783, 696. So, keep reading to learn more.
Given numbers are 252,856,499,783,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 252,856,499,783,696 is 2341176264.
Find LCM of 252,856,499,783,696 with Prime Factorization
| 2 | 252, 856, 499, 783, 696 |
| 2 | 126, 428, 499, 783, 348 |
| 2 | 63, 214, 499, 783, 174 |
| 3 | 63, 107, 499, 783, 87 |
| 3 | 21, 107, 499, 261, 29 |
| 29 | 7, 107, 499, 87, 29 |
| 7, 107, 499, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 29 x 7 x 107 x 499 x 3 x 1 = 2341176264
Therefore, the lowest common multiple of 252,856,499,783,696 is 2341176264.
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.
252 x 856 x 499 x 783 x 696 = 58660512470784
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.
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
856 : 1, 2, 4, 8, 107, 214, 428, 856
499 : 1, 499
783 : 1, 3, 9, 27, 29, 87, 261, 783
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,856,499,783,696, is 1.
Now, the common factors can be found like this.
252:2x 2x 3x 3x 7
856:2x 2x 2x 107
499:499
783:3x 3x 3x 29
696:2x 2x 2x 3x 29
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 3x 3x 3x 29 = 25056
Therefore, the value for common factors is 25056.
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 = 58660512470784/(1x25056)
LCM = 58660512470784/25056
LCM = 2341176264
Thus, we can understand that the LCM of 252,856,499,783,696 is 2341176264.
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FAQs on LCM of 252, 856, 499, 783, 696
1. What is the LCM of 252, 856, 499, 783, 696?
Answer: LCM of 252, 856, 499, 783, 696 is 2341176264.
2. How to calculate the LCM of 252, 856, 499, 783, 696?
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 252, 856, 499, 783, 696.
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}.