Find the LCM of 843, 206, 754, 232, 184 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 843, 206, 754, 232, 184. So, keep reading to learn more.
Given numbers are 843,206,754,232,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,206,754,232,184 is 6023154072.
Find LCM of 843,206,754,232,184 with Prime Factorization
2 | 843, 206, 754, 232, 184 |
2 | 843, 103, 377, 116, 92 |
2 | 843, 103, 377, 58, 46 |
29 | 843, 103, 377, 29, 23 |
843, 103, 13, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 29 x 843 x 103 x 13 x 1 x 23 = 6023154072
Therefore, the lowest common multiple of 843,206,754,232,184 is 6023154072.
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.
843 x 206 x 754 x 232 x 184 = 5589486978816
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.
843 : 1, 3, 281, 843
206 : 1, 2, 103, 206
754 : 1, 2, 13, 26, 29, 58, 377, 754
232 : 1, 2, 4, 8, 29, 58, 116, 232
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,206,754,232,184, is 1.
Now, the common factors can be found like this.
843:3x 281
206:2x 103
754:2x 13x 29
232:2x 2x 2x 29
184:2x 2x 2x 23
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 29 = 928
Therefore, the value for common factors is 928.
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 = 5589486978816/(1x928)
LCM = 5589486978816/928
LCM = 6023154072
Thus, we can understand that the LCM of 843,206,754,232,184 is 6023154072.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 843, 206, 754, 232, 184?
Answer: LCM of 843, 206, 754, 232, 184 is 6023154072.
2. How to calculate the LCM of 843, 206, 754, 232, 184?
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 843, 206, 754, 232, 184.
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}.