Find the LCM of 381, 262, 225, 696, 783 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, 262, 225, 696, 783. So, keep reading to learn more.
Given numbers are 381,262,225,696,783
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,262,225,696,783 is 2605354200.
Find LCM of 381,262,225,696,783 with Prime Factorization
2 | 381, 262, 225, 696, 783 |
3 | 381, 131, 225, 348, 783 |
3 | 127, 131, 75, 116, 261 |
29 | 127, 131, 25, 116, 87 |
127, 131, 25, 4, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 29 x 127 x 131 x 25 x 4 x 3 = 2605354200
Therefore, the lowest common multiple of 381,262,225,696,783 is 2605354200.
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 262 x 225 x 696 x 783 = 12239954031600
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
262 : 1, 2, 131, 262
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
783 : 1, 3, 9, 27, 29, 87, 261, 783
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,262,225,696,783, is 1.
Now, the common factors can be found like this.
381:3x 127
262:2x 131
225:3x 3x 5x 5
696:2x 2x 2x 3x 29
783:3x 3x 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 3x 3x 3x 29 = 4698
Therefore, the value for common factors is 4698.
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 = 12239954031600/(1x4698)
LCM = 12239954031600/4698
LCM = 2605354200
Thus, we can understand that the LCM of 381,262,225,696,783 is 2605354200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 381, 262, 225, 696, 783?
Answer: LCM of 381, 262, 225, 696, 783 is 2605354200.
2. How to calculate the LCM of 381, 262, 225, 696, 783?
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, 262, 225, 696, 783.
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}.