Find the LCM of 208, 976, 253, 658, 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 208, 976, 253, 658, 184. So, keep reading to learn more.
Given numbers are 208,976,253,658,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 208,976,253,658,184 is 1056111056.
Find LCM of 208,976,253,658,184 with Prime Factorization
2 | 208, 976, 253, 658, 184 |
2 | 104, 488, 253, 329, 92 |
2 | 52, 244, 253, 329, 46 |
2 | 26, 122, 253, 329, 23 |
23 | 13, 61, 253, 329, 23 |
13, 61, 11, 329, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 13 x 61 x 11 x 329 x 1 = 1056111056
Therefore, the lowest common multiple of 208,976,253,658,184 is 1056111056.
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.
208 x 976 x 253 x 658 x 184 = 6218381897728
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.
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
253 : 1, 11, 23, 253
658 : 1, 2, 7, 14, 47, 94, 329, 658
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 208,976,253,658,184, is 1.
Now, the common factors can be found like this.
208:2x 2x 2x 2x 13
976:2x 2x 2x 2x 61
253:11x 23
658:2x 7x 47
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 2x 2x 2x 23 = 5888
Therefore, the value for common factors is 5888.
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 = 6218381897728/(1x5888)
LCM = 6218381897728/5888
LCM = 1056111056
Thus, we can understand that the LCM of 208,976,253,658,184 is 1056111056.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 208, 976, 253, 658, 184?
Answer: LCM of 208, 976, 253, 658, 184 is 1056111056.
2. How to calculate the LCM of 208, 976, 253, 658, 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 208, 976, 253, 658, 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}.