LCM of 305, 646, 400, 145, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 646, 400, 145, 109 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 305, 646, 400, 145, 109. So, keep reading to learn more.
Given numbers are 305,646,400,145,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,646,400,145,109 is 24912473200.
Find LCM of 305,646,400,145,109 with Prime Factorization
| 2 | 305, 646, 400, 145, 109 |
| 5 | 305, 323, 200, 145, 109 |
| 61, 323, 40, 29, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 61 x 323 x 40 x 29 x 109 = 24912473200
Therefore, the lowest common multiple of 305,646,400,145,109 is 24912473200.
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.
305 x 646 x 400 x 145 x 109 = 1245623660000
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.
305 : 1, 5, 61, 305
646 : 1, 2, 17, 19, 34, 38, 323, 646
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
145 : 1, 5, 29, 145
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,646,400,145,109, is 1.
Now, the common factors can be found like this.
305:5x 61
646:2x 17x 19
400:2x 2x 2x 2x 5x 5
145:5x 29
109:109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5 = 50
Therefore, the value for common factors is 50.
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 = 1245623660000/(1x50)
LCM = 1245623660000/50
LCM = 24912473200
Thus, we can understand that the LCM of 305,646,400,145,109 is 24912473200.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 305, 646, 400, 145, 109
1. What is the LCM of 305, 646, 400, 145, 109?
Answer: LCM of 305, 646, 400, 145, 109 is 24912473200.
2. How to calculate the LCM of 305, 646, 400, 145, 109?
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 305, 646, 400, 145, 109.
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}.