Find the LCM of 896, 838, 201, 994, 268 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 896, 838, 201, 994, 268. So, keep reading to learn more.
Given numbers are 896,838,201,994,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,838,201,994,268 is 5357675904.
Find LCM of 896,838,201,994,268 with Prime Factorization
2 | 896, 838, 201, 994, 268 |
2 | 448, 419, 201, 497, 134 |
7 | 224, 419, 201, 497, 67 |
67 | 32, 419, 201, 71, 67 |
32, 419, 3, 71, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 67 x 32 x 419 x 3 x 71 x 1 = 5357675904
Therefore, the lowest common multiple of 896,838,201,994,268 is 5357675904.
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.
896 x 838 x 201 x 994 x 268 = 40203999983616
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
838 : 1, 2, 419, 838
201 : 1, 3, 67, 201
994 : 1, 2, 7, 14, 71, 142, 497, 994
268 : 1, 2, 4, 67, 134, 268
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,838,201,994,268, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
838:2x 419
201:3x 67
994:2x 7x 71
268:2x 2x 67
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 7x 67 = 7504
Therefore, the value for common factors is 7504.
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 = 40203999983616/(1x7504)
LCM = 40203999983616/7504
LCM = 5357675904
Thus, we can understand that the LCM of 896,838,201,994,268 is 5357675904.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 896, 838, 201, 994, 268?
Answer: LCM of 896, 838, 201, 994, 268 is 5357675904.
2. How to calculate the LCM of 896, 838, 201, 994, 268?
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 896, 838, 201, 994, 268.
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}.