LCM of 381, 218, 725, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 218, 725, 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 381, 218, 725, 696. So, keep reading to learn more.
Given numbers are 381,218,725,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,218,725,696 is 240868200.
Find LCM of 381,218,725,696 with Prime Factorization
| 2 | 381, 218, 725, 696 |
| 3 | 381, 109, 725, 348 |
| 29 | 127, 109, 725, 116 |
| 127, 109, 25, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 127 x 109 x 25 x 4 = 240868200
Therefore, the lowest common multiple of 381,218,725,696 is 240868200.
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.
381 x 218 x 725 x 696 = 41911066800
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.
381 : 1, 3, 127, 381
218 : 1, 2, 109, 218
725 : 1, 5, 25, 29, 145, 725
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 381,218,725,696, is 1.
Now, the common factors can be found like this.
381:3x 127
218:2x 109
725:5x 5x 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 3x 29 = 174
Therefore, the value for common factors is 174.
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 = 41911066800/(1x174)
LCM = 41911066800/174
LCM = 240868200
Thus, we can understand that the LCM of 381,218,725,696 is 240868200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 381, 218, 725, 696
1. What is the LCM of 381, 218, 725, 696?
Answer: LCM of 381, 218, 725, 696 is 240868200.
2. How to calculate the LCM of 381, 218, 725, 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 381, 218, 725, 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}.