Find the LCM of 232, 103, 884, 824, 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 232, 103, 884, 824, 834. So, keep reading to learn more.
Given numbers are 232,103,884,824,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,103,884,824,834 is 2202183672.
Find LCM of 232,103,884,824,834 with Prime Factorization
2 | 232, 103, 884, 824, 834 |
2 | 116, 103, 442, 412, 417 |
2 | 58, 103, 221, 206, 417 |
103 | 29, 103, 221, 103, 417 |
29, 1, 221, 1, 417 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 103 x 29 x 1 x 221 x 1 x 417 = 2202183672
Therefore, the lowest common multiple of 232,103,884,824,834 is 2202183672.
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.
232 x 103 x 884 x 824 x 834 = 14516794765824
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
103 : 1, 103
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
824 : 1, 2, 4, 8, 103, 206, 412, 824
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 232,103,884,824,834, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
103:103
884:2x 2x 13x 17
824:2x 2x 2x 103
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 2x 2x 2x 2x 103 = 6592
Therefore, the value for common factors is 6592.
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 = 14516794765824/(1x6592)
LCM = 14516794765824/6592
LCM = 2202183672
Thus, we can understand that the LCM of 232,103,884,824,834 is 2202183672.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 232, 103, 884, 824, 834?
Answer: LCM of 232, 103, 884, 824, 834 is 2202183672.
2. How to calculate the LCM of 232, 103, 884, 824, 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 232, 103, 884, 824, 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}.