Find the LCM of 184, 183, 617, 203, 305 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 184, 183, 617, 203, 305. So, keep reading to learn more.
Given numbers are 184,183,617,203,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,183,617,203,305 is 21087258360.
Find LCM of 184,183,617,203,305 with Prime Factorization
61 | 184, 183, 617, 203, 305 |
184, 3, 617, 203, 5 |
Multiply the prime numbers at the bottom and the left side.
61 x 184 x 3 x 617 x 203 x 5 = 21087258360
Therefore, the lowest common multiple of 184,183,617,203,305 is 21087258360.
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.
184 x 183 x 617 x 203 x 305 = 1286322759960
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.
184 : 1, 2, 4, 8, 23, 46, 92, 184
183 : 1, 3, 61, 183
617 : 1, 617
203 : 1, 7, 29, 203
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,183,617,203,305, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
183:3x 61
617:617
203:7x 29
305:5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
61 = 61
Therefore, the value for common factors is 61.
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 = 1286322759960/(1x61)
LCM = 1286322759960/61
LCM = 21087258360
Thus, we can understand that the LCM of 184,183,617,203,305 is 21087258360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 184, 183, 617, 203, 305?
Answer: LCM of 184, 183, 617, 203, 305 is 21087258360.
2. How to calculate the LCM of 184, 183, 617, 203, 305?
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 184, 183, 617, 203, 305.
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}.