Find the LCM of 416, 914, 868, 252 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 416, 914, 868, 252. So, keep reading to learn more.
Given numbers are 416,914,868,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,914,868,252 is 371288736.
Find LCM of 416,914,868,252 with Prime Factorization
2 | 416, 914, 868, 252 |
2 | 208, 457, 434, 126 |
7 | 104, 457, 217, 63 |
104, 457, 31, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 104 x 457 x 31 x 9 = 371288736
Therefore, the lowest common multiple of 416,914,868,252 is 371288736.
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.
416 x 914 x 868 x 252 = 83168676864
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
914 : 1, 2, 457, 914
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,914,868,252, is 2.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
914:2x 457
868:2x 2x 7x 31
252:2x 2x 3x 3x 7
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 7 = 112
Therefore, the value for common factors is 112.
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 = 83168676864/(2x112)
LCM = 83168676864/224
LCM = 371288736
Thus, we can understand that the LCM of 416,914,868,252 is 371288736.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 416, 914, 868, 252?
Answer: LCM of 416, 914, 868, 252 is 371288736.
2. How to calculate the LCM of 416, 914, 868, 252?
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 416, 914, 868, 252.
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}.