Find the LCM of 381, 117, 984, 861 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, 117, 984, 861. So, keep reading to learn more.
Given numbers are 381,117,984,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,117,984,861 is 34116264.
Find LCM of 381,117,984,861 with Prime Factorization
3 | 381, 117, 984, 861 |
41 | 127, 39, 328, 287 |
127, 39, 8, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 41 x 127 x 39 x 8 x 7 = 34116264
Therefore, the lowest common multiple of 381,117,984,861 is 34116264.
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 117 x 984 x 861 = 37766704248
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
117 : 1, 3, 9, 13, 39, 117
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
861 : 1, 3, 7, 21, 41, 123, 287, 861
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,117,984,861, is 3.
Now, the common factors can be found like this.
381:3x 127
117:3x 3x 13
984:2x 2x 2x 3x 41
861:3x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 41 = 369
Therefore, the value for common factors is 369.
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 = 37766704248/(3x369)
LCM = 37766704248/1107
LCM = 34116264
Thus, we can understand that the LCM of 381,117,984,861 is 34116264.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 381, 117, 984, 861?
Answer: LCM of 381, 117, 984, 861 is 34116264.
2. How to calculate the LCM of 381, 117, 984, 861?
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, 117, 984, 861.
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}.