LCM of 309, 927, 216, 615, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 927, 216, 615, 329 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 309, 927, 216, 615, 329. So, keep reading to learn more.
Given numbers are 309,927,216,615,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,927,216,615,329 is 1500516360.
Find LCM of 309,927,216,615,329 with Prime Factorization
| 3 | 309, 927, 216, 615, 329 |
| 3 | 103, 309, 72, 205, 329 |
| 103 | 103, 103, 24, 205, 329 |
| 1, 1, 24, 205, 329 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 103 x 1 x 1 x 24 x 205 x 329 = 1500516360
Therefore, the lowest common multiple of 309,927,216,615,329 is 1500516360.
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.
309 x 927 x 216 x 615 x 329 = 12518807991480
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.
309 : 1, 3, 103, 309
927 : 1, 3, 9, 103, 309, 927
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
615 : 1, 3, 5, 15, 41, 123, 205, 615
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,927,216,615,329, is 1.
Now, the common factors can be found like this.
309:3x 103
927:3x 3x 103
216:2x 2x 2x 3x 3x 3
615:3x 5x 41
329:7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 103 = 8343
Therefore, the value for common factors is 8343.
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 = 12518807991480/(1x8343)
LCM = 12518807991480/8343
LCM = 1500516360
Thus, we can understand that the LCM of 309,927,216,615,329 is 1500516360.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 309, 927, 216, 615, 329
1. What is the LCM of 309, 927, 216, 615, 329?
Answer: LCM of 309, 927, 216, 615, 329 is 1500516360.
2. How to calculate the LCM of 309, 927, 216, 615, 329?
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 309, 927, 216, 615, 329.
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}.