Find the LCM of 896, 834, 967, 834 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, 834, 967, 834. So, keep reading to learn more.
Given numbers are 896,834,967,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,834,967,834 is 361302144.
Find LCM of 896,834,967,834 with Prime Factorization
2 | 896, 834, 967, 834 |
3 | 448, 417, 967, 417 |
139 | 448, 139, 967, 139 |
448, 1, 967, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 448 x 1 x 967 x 1 = 361302144
Therefore, the lowest common multiple of 896,834,967,834 is 361302144.
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 834 x 967 x 834 = 602651976192
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
834 : 1, 2, 3, 6, 139, 278, 417, 834
967 : 1, 967
834 : 1, 2, 3, 6, 139, 278, 417, 834
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,834,967,834, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
834:2x 3x 139
967:967
834:2x 3x 139
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 3x 139 = 1668
Therefore, the value for common factors is 1668.
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 = 602651976192/(1x1668)
LCM = 602651976192/1668
LCM = 361302144
Thus, we can understand that the LCM of 896,834,967,834 is 361302144.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 896, 834, 967, 834?
Answer: LCM of 896, 834, 967, 834 is 361302144.
2. How to calculate the LCM of 896, 834, 967, 834?
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, 834, 967, 834.
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}.